QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number 811-7606

Nuveen Connecticut Premium Income Municipal Fund
(Exact name of registrant as specified in charter)

Nuveen Investments
333 West Wacker Drive, Chicago, Illinois 60606
(Address of principal executive offices) (Zip code)

Kevin J. McCarthy Vice President and Secretary
333 West Wacker Drive, Chicago, Illinois 60606
(Name and address of agent for service)

Registrant's telephone number, including area code: 312-917-7700

Date of fiscal year end: 5/31

Date of reporting period: 8/31/09

Form N-Q is to be used by management investment companies, other than small business investment companies registered on Form N-5 (§§ 239.24 and 274.5 of this chapter), to file reports with the Commission, not later than 60 days after the close of the first and third fiscal quarters, pursuant to rule 30b1-5 under the Investment Company Act of 1940 (17 CFR 270.30b1-5). The Commission may use the information provided on Form N-Q in its regulatory, disclosure review, inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q, and the Commission will make this information public. A registrant is not required to respond to the collection of information contained in Form N-Q unless the Form displays a currently valid Office of Management and Budget ("OMB") control number. Please direct comments concerning the accuracy of the information collection burden estimate and any suggestions for reducing the burden to the Secretary, Securities and Exchange Commission, 450 Fifth Street, NW, Washington, DC 20549-0609. The OMB has reviewed this collection of information under the clearance requirements of 44 U.S.C. § 3507.

Item 1. Schedule of Investments


	Portfolio of Investments (Unaudited)
	Nuveen Connecticut Premium Income Municipal Fund (NTC)
	August 31, 2009
Principal		Optional Call
Amount (000)	Description (1)	Provisions (2)	Ratings (3)	Value
	Consumer Staples – 1.7% (1.2% of Total Investments)
$ 1,350	Puerto Rico, The Children’s Trust Fund, Tobacco Settlement Asset-Backed Refunding Bonds,	5/12 at 100.00	BBB	$ 1,293,219
	Series 2002, 5.375%, 5/15/33
	Education and Civic Organizations – 37.5% (25.1% of Total Investments)
1,595	Connecticut Health and Education Facilities Authority, Revenue Bonds, Quinnipiac University,	7/17 at 100.00	A	1,637,523
	Series 2007-I, 5.000%, 7/01/25 – NPFG Insured
1,050	Connecticut Health and Education Facilities Authority, University of Hartford Revenue Bonds,	7/16 at 100.00	BBB–	922,761
	Series 2006G, 5.250%, 7/01/36 – RAAI Insured
925	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Brunswick School,	7/13 at 100.00	A	912,263
	Series 2003B, 5.000%, 7/01/33 – NPFG Insured
200	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Canterbury School,	7/16 at 100.00	BBB–	169,254
	Series 2006B, 5.000%, 7/01/36 – RAAI Insured
305	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Chase Collegiate	7/17 at 100.00	BBB–	277,767
	School, Series 2007A, 5.000%, 7/01/27 – RAAI Insured
725	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Fairfield University,	1/10 at 101.00	A	725,537
	Series 1998H, 5.000%, 7/01/23 – MBIA Insured
750	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Horace Bushnell	1/10 at 101.00	Baa1	754,148
	Memorial Hall, Series 1999A, 5.625%, 7/01/29 – NPFG Insured
800	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Loomis Chaffee School,	No Opt. Call	A2	893,704
	Series 2005F, 5.250%, 7/01/19 – AMBAC Insured
270	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Renbrook School,	7/17 at 100.00	N/R	258,260
	Series 2007A, 5.000%, 7/01/37 – AMBAC Insured
1,375	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Trinity College,	7/14 at 100.00	A+	1,486,568
	Series 2004H, 5.000%, 7/01/21 – NPFG Insured
2,000	Connecticut Health and Educational Facilities Authority, Revenue Bonds, University of	7/12 at 101.00	BBB–	1,721,440
	Hartford, Series 2002E, 5.250%, 7/01/32 – RAAI Insured
1,500	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale University,	11/09 at 100.00	AAA	1,501,620
	Series 2002W, 5.125%, 7/01/27
1,500	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale University,	7/13 at 100.00	AAA	1,529,220
	Series 2003X-1, 5.000%, 7/01/42 (UB)
3,550	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale University,	7/16 at 100.00	AAA	3,665,872
	Series2007Z-1, 5.000%, 7/01/42 (UB)
6,150	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale University,	7/17 at 100.00	AAA	6,397,230
	Series 2007Z-3, 5.050%, 7/01/42 (UB)
250	Connecticut Higher Education Supplemental Loan Authority, Revenue Bonds, Family Education Loan	11/09 at 102.00	AAA	253,720
	Program, Series 1999A, 6.000%, 11/15/18 – AMBAC Insured (Alternative Minimum Tax)
615	Connecticut Higher Education Supplemental Loan Authority, Revenue Bonds, Family Education Loan	11/11 at 100.00	Aa3	615,049
	Program, Series 2001A, 5.250%, 11/15/18 – NPFG Insured (Alternative Minimum Tax)
1,000	University of Connecticut, General Obligation Bonds, Series 2004A, 5.000%, 1/15/18 –	1/14 at 100.00	AA	1,080,500
	NPFG Insured
1,220	University of Connecticut, General Obligation Bonds, Series 2005A, 5.000%, 2/15/17 –	2/15 at 100.00	AAA	1,365,119
	FSA Insured
685	University of Connecticut, General Obligation Bonds, Series 2006A, 5.000%, 2/15/23 –	2/16 at 100.00	AA	738,807
	FGIC Insured
1,000	University of Connecticut, Student Fee Revenue Refunding Bonds, Series 2002A, 5.250%,	11/12 at 101.00	AA–	1,095,130
	11/15/19 – FGIC Insured
27,465	Total Education and Civic Organizations			28,001,492

	Health Care – 15.4% (10.3% of Total Investments)
	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Bristol Hospital,
	Series 2002B:
500	5.500%, 7/01/21 – RAAI Insured	7/12 at 101.00	BBB–	448,625
700	5.500%, 7/01/32 – RAAI Insured	7/12 at 101.00	BBB–	584,577
645	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Eastern Connecticut	7/10 at 101.00	BBB–	614,562
	Health Network, Series 2000A, 6.000%, 7/01/25 – RAAI Insured
	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Griffin Hospital,
	Series 2005B:
800	5.000%, 7/01/20 – RAAI Insured	7/15 at 100.00	N/R	701,680
500	5.000%, 7/01/23 – RAAI Insured	7/15 at 100.00	N/R	412,055
385	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Hospital For Special	7/17 at 100.00	BBB–	311,704
	Care, Series 2007C, 5.250%, 7/01/32 – RAAI Insured
2,620	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Middlesex Hospital,	7/16 at 100.00	Aa3	2,639,411
	Series 2006, 5.000%, 7/01/32 – FSA Insured
2,000	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Stamford Hospital,	1/10 at 101.00	Baa1	1,778,120
	Series 1999G, 5.000%, 7/01/24 – NPFG Insured
1,395	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Yale-New Haven	7/16 at 100.00	A1	1,394,902
	Hospital, Series 2006J-1, 5.000%, 7/01/31 – AMBAC Insured
3,000	Connecticut Health and Educational Facilities Authority, Revenue Refunding Bonds, Middlesex	1/10 at 100.00	A3	2,610,809
	Health Services, Series 1997H, 5.125%, 7/01/27 – NPFG Insured
12,545	Total Health Care			11,496,445
	Housing/Multifamily – 2.6% (1.8% of Total Investments)
1,000	Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 1999D-2,	12/09 at 100.00	AAA	1,001,600
	6.200%, 11/15/41 (Alternative Minimum Tax)
1,000	Connecticut Housing Finance Authority, Multifamily Housing Mortgage Finance Program Bonds,	11/15 at 100.00	AAA	953,210
	Series 2006G-2, 4.800%, 11/15/27 (Alternative Minimum Tax)
2,000	Total Housing/Multifamily			1,954,810
	Housing/Single Family – 7.6% (5.1% of Total Investments)
	Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 2001C:
1,000	5.300%, 11/15/33 (Alternative Minimum Tax)	11/10 at 100.00	AAA	985,170
500	5.450%, 11/15/43 (Alternative Minimum Tax)	11/10 at 100.00	AAA	491,580
1,675	Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 2004-A5,	5/13 at 100.00	AAA	1,689,623
	5.050%, 11/15/34
	Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 2006-A1:
205	4.700%, 11/15/26 (Alternative Minimum Tax)	11/15 at 100.00	AAA	192,534
220	4.800%, 11/15/31 (Alternative Minimum Tax)	11/15 at 100.00	AAA	204,316
2,100	Connecticut Housing Finance Authority, Housing Mortgage Finance Program Bonds, Series 2006D,	5/16 at 100.00	AAA	2,101,533
	4.650%, 11/15/27
5,700	Total Housing/Single Family			5,664,756
	Industrials – 2.2% (1.5% of Total Investments)
1,750	Connecticut Resource Recovery Authority, Revenue Bonds, American Ref-Fuel Company of	12/11 at 102.00	Ba1	1,629,635
	Southeastern Connecticut LP, Series 1998A-I, 5.500%, 11/15/15 (Alternative Minimum Tax)
	Long-Term Care – 4.1% (2.8% of Total Investments)
470	Connecticut Development Authority, First Mortgage Gross Revenue Refunding Healthcare Bonds,	10/09 at 100.00	BBB–	469,695
	Church Homes Inc. – Congregational Avery Heights, Series 1997, 5.700%, 4/01/12
615	Connecticut Development Authority, First Mortgage Gross Revenue Refunding Healthcare Bonds,	9/09 at 102.00	BBB–	610,055
	Connecticut Baptist Homes Inc., Series 1999, 5.500%, 9/01/15 – RAAI Insured
	Connecticut Development Authority, Revenue Refunding Bonds, Duncaster Inc., Series 1999A:
1,000	5.250%, 8/01/19 – RAAI Insured	2/10 at 102.00	BBB	1,003,020
1,000	5.375%, 8/01/24 – RAAI Insured	2/10 at 102.00	BBB	985,340
3,085	Total Long-Term Care			3,068,110
	Tax Obligation/General – 23.0% (15.5% of Total Investments)
750	Bridgeport, Connecticut, General Obligation Refunding Bonds, Series 2002A, 5.375%, 8/15/19 –	8/12 at 100.00	Baa1	759,263
	FGIC Insured
760	Capitol Region Education Council, Connecticut, Revenue Bonds, Series 1995, 6.700%, 10/15/10	10/09 at 100.00	BBB	761,984
1,110	Connecticut State, General Obligation Bonds, Series 2004C, 5.000%, 4/01/23 – FGIC Insured	4/14 at 100.00	AA	1,177,155
2,000	Connecticut State, General Obligation Bonds, Series 2006A, 4.750%, 12/15/24	12/16 at 100.00	AA	2,133,119

1,300	Connecticut State, General Obligation Bonds, Series 2006C, 5.000%, 6/01/23 – FSA Insured	6/16 at 100.00	AAA	1,419,366
	Hartford, Connecticut, General Obligation Bonds, Series 2005A:
775	5.000%, 8/01/20 – FSA Insured	8/15 at 100.00	AAA	842,836
525	4.375%, 8/01/24 – FSA Insured	8/15 at 100.00	AAA	530,796
500	New Haven, Connecticut, General Obligation Bonds, Series 2006, 5.000%, 11/01/17 – AMBAC Insured	11/16 at 100.00	A–	555,520
500	North Haven, Connecticut, General Obligation Bonds, Series 2006, 5.000%, 7/15/24	No Opt. Call	Aa2	575,055
1,860	Puerto Rico, General Obligation and Public Improvement Bonds, Series 2001A, 5.500%, 7/01/20 –	No Opt. Call	A	1,879,511
	NPFG Insured
	Regional School District 16, Beacon Falls and Prospect, Connecticut, General Obligation Bonds,
	Series 2000:
350	5.500%, 3/15/18 – FSA Insured	3/10 at 101.00	Aa3	360,742
350	5.625%, 3/15/19 – FSA Insured	3/10 at 101.00	Aa3	360,976
350	5.700%, 3/15/20 – FSA Insured	3/10 at 101.00	Aa3	361,232
1,420	Regional School District 16, Connecticut, General Obligation Bonds, Series 2003, 5.000%,	3/13 at 101.00	A3	1,560,935
	3/15/16 – AMBAC Insured
	Suffield, Connecticut, General Obligation Bonds, Series 2005:
465	5.000%, 6/15/17	No Opt. Call	AA	543,246
460	5.000%, 6/15/19	No Opt. Call	AA	539,010
1,000	5.000%, 6/15/21	No Opt. Call	AA	1,168,920
1,500	West Hartford, Connecticut, General Obligation Bonds, Series 2005B, 5.000%, 10/01/18	10/15 at 100.00	AAA	1,681,410
15,975	Total Tax Obligation/General			17,211,076
	Tax Obligation/Limited – 21.4% (14.4% of Total Investments)
	Connecticut Health and Educational Facilities Authority, Child Care Facilities Program Revenue
	Bonds, Series 2006F:
1,300	5.000%, 7/01/31 – AGC Insured	7/16 at 100.00	AAA	1,320,202
1,000	5.000%, 7/01/36 – AGC Insured	7/16 at 100.00	AAA	1,008,570
1,945	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Child Care Facilities	1/10 at 102.00	N/R	1,893,847
	Program, Series 1999C, 5.625%, 7/01/29 – AMBAC Insured
	Connecticut, Special Tax Obligation Transportation Infrastructure Purpose Bonds, Series 2002B:
2,000	5.000%, 12/01/20 – AMBAC Insured	12/12 at 100.00	AA	2,091,100
1,000	5.000%, 12/01/21 – AMBAC Insured	12/12 at 100.00	AA	1,041,150
500	Connecticut, Special Tax Obligation Transportation Infrastructure Purpose Bonds, Series 2003B,	1/14 at 100.00	AA	523,395
	5.000%, 1/01/23 – FGIC Insured
1,750	Connecticut, Special Tax Obligation Transportation Infrastructure Purpose Revenue Bonds,	8/17 at 100.00	AA	1,841,000
	Series 2007A, 5.000%, 8/01/27 – AMBAC Insured
	Puerto Rico Infrastructure Financing Authority, Special Tax Revenue Bonds, Series 2005A:
960	0.000%, 7/01/32 – FGIC Insured	No Opt. Call	BBB+	177,379
2,615	0.000%, 7/01/33 – FGIC Insured	No Opt. Call	BBB+	450,591
2,000	Puerto Rico Municipal Finance Agency, Series 2002A, 5.250%, 8/01/21 – FSA Insured	8/12 at 100.00	AAA	2,030,060
2,400	Puerto Rico Municipal Finance Agency, Series 2005C, 5.000%, 8/01/16 – FSA Insured	8/15 at 100.00	AAA	2,557,535
1,000	Virgin Islands Public Finance Authority, Gross Receipts Taxes Loan Note, Series 2003, 5.250%,	10/14 at 100.00	AAA	1,042,000
	10/01/19 – FSA Insured
18,470	Total Tax Obligation/Limited			15,976,829
	Transportation – 1.0% (0.6% of Total Investments)
750	Connecticut, General Airport Revenue Bonds, Bradley International Airport, Series 2001A,	4/11 at 101.00	A	715,073
	5.125%, 10/01/26 – FGIC Insured (Alternative Minimum Tax)
	U.S. Guaranteed – 14.4% (9.6% of Total Investments) (4)
1,300	Connecticut Health and Educational Facilities Authority, FHA-Insured Mortgage Revenue Bonds,	11/09 at 101.00	N/R (4)	1,324,401
	Hebrew Home and Hospital, Series 1999B, 5.200%, 8/01/38 (Pre-refunded 11/20/09)
50	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Eastern Connecticut	7/10 at 101.00	BBB– (4)	52,836
	Health Network, Series 2000A, 6.000%, 7/01/25 (Pre-refunded 7/01/10) – RAAI Insured
650	Connecticut Health and Educational Facilities Authority, Revenue Bonds, Loomis Chaffee School,	7/11 at 101.00	N/R (4)	711,198
	Series 2001D, 5.500%, 7/01/23 (Pre-refunded 7/01/11)
40	Connecticut, General Obligation Bonds, Series 1993E, 6.000%, 3/15/12 (ETM)	No Opt. Call	AA (4)	44,941
1,500	Connecticut, General Obligation Bonds, Series 2002B, 5.500%, 6/15/21 (Pre-refunded 6/15/12)	6/12 at 100.00	AA (4)	1,681,200
600	Guam Economic Development Authority, Tobacco Settlement Asset-Backed Bonds, Series 2001B,	5/11 at 100.00	N/R (4)	644,484
	5.500%, 5/15/41 (Pre-refunded 5/15/11)
1,000	Hartford, Connecticut, Parking System Revenue Bonds, Series 2000A, 6.400%, 7/01/20	7/10 at 100.00	Baa2 (4)	1,049,730
	(Pre-refunded 7/01/10)

400	Northern Mariana Islands, General Obligation Bonds, Series 2000A, 6.000%, 6/01/20	6/10 at 100.00	AAA	416,772
	(Pre-refunded 6/01/10) – ACA Insured
1,000	Puerto Rico Infrastructure Financing Authority, Special Obligation Bonds, Series 2000A,	10/10 at 101.00	AAA	1,064,400
	5.500%, 10/01/40
300	Puerto Rico, The Children’s Trust Fund, Tobacco Settlement Asset-Backed Bonds, Series 2000,	7/10 at 100.00	AAA	313,041
	5.750%, 7/01/20 (Pre-refunded 7/01/10)
1,100	University of Connecticut, General Obligation Bonds, Series 2003A, 5.125%, 2/15/21	2/13 at 100.00	AA (4)	1,239,931
	(Pre-refunded 2/15/13) – MBIA Insured
1,000	Virgin Islands Public Finance Authority, Gross Receipts Taxes Loan Note, Series 1999A, 6.500%,	10/10 at 101.00	BBB+ (4)	1,075,540
	10/01/24 (Pre-refunded 10/01/10)
1,000	Waterbury, Connecticut, General Obligation Bonds, Series 2002A, 5.375%, 4/01/17 (Pre-refunded	4/12 at 100.00	AAA	1,109,530
	4/01/12) – FSA Insured
9,940	Total U.S. Guaranteed			10,728,004
	Utilities – 6.4% (4.3% of Total Investments)
1,150	Bristol Resource Recovery Facility Operating Committee, Connecticut, Solid Waste Revenue	No Opt. Call	A+	1,255,018
	Bonds, Covanta Bristol Inc., Series 2005, 5.000%, 7/01/12 – AMBAC Insured
1,000	Connecticut Development Authority, Pollution Control Revenue Refunding Bonds, Connecticut	10/09 at 101.50	Baa1	1,007,660
	Light and Power Company, Series 1993A, 5.850%, 9/01/28
1,070	Connecticut Development Authority, Solid Waste Disposal Facilities Revenue Bonds, PSEG Power	11/12 at 100.00	Baa1	990,114
	LLC Project, Series 2007A, 5.750%, 11/01/37 (Alternative Minimum Tax)
	Eastern Connecticut Resource Recovery Authority, Solid Waste Revenue Bonds, Wheelabrator
	Lisbon Project, Series 1993A:
310	5.500%, 1/01/14 (Alternative Minimum Tax)	1/10 at 100.00	BBB	307,331
1,290	5.500%, 1/01/20 (Alternative Minimum Tax)	1/10 at 100.00	BBB	1,247,972
4,820	Total Utilities			4,808,095
	Water and Sewer – 11.7% (7.8% of Total Investments)
500	Connecticut Development Authority, Water Facility Revenue Bonds, Aquarion Water Company	9/17 at 100.00	N/R	413,040
	Project, Series 200.7, 5.100%, 9/01/37 – SYNCORA GTY Insured (Alternative Minimum Tax)
1,185	Connecticut, State Revolving Fund General Revenue Bonds, Series 2003A, 5.000%, 10/01/16	10/13 at 100.00	AAA	1,306,463
	Greater New Haven Water Pollution Control Authority, Connecticut, Regional Wastewater System
	Revenue Bonds, Series 2005A:
1,520	5.000%, 11/15/30 – NPFG Insured	11/15 at 100.00	A	1,536,857
2,260	5.000%, 8/15/35 – NPFG Insured	11/15 at 100.00	A	2,246,936
	South Central Connecticut Regional Water Authority, Water System Revenue Bonds, Eighteenth
	Series 2003A:
1,000	5.000%, 8/01/20 – NPFG Insured	8/13 at 100.00	A+	1,044,480
1,075	5.000%, 8/01/33 – NPFG Insured	8/13 at 100.00	A+	1,083,697
1,100	Stamford, Connecticut, Water Pollution Control System and Facility Revenue Bonds, Series	11/13 at 100.00	AA+	1,109,878
	2003A, 5.000%, 11/15/32
8,640	Total Water and Sewer			8,741,351
$ 112,490	Total Investments (cost $111,793,135) – 149.0%			111,288,895
	Floating Rate Obligations – (10.7)%			(7,965,000)
	Other Assets Less Liabilities – 6.5%			4,802,010
	Preferred Shares, at Liquidation Value – (44.8)% (5)			(33,450,000)
	Net Assets Applicable to Common Shares – 100%			$ 74,675,905

Fair Value Measurements

In determining the value of the Fund’s investments various inputs are used. These inputs are summarized

in the three broad levels listed below:

Level 1 – Quoted prices in active markets for identical securities.

Level 2 – Other significant observable inputs (including quoted prices for similar securities, interest rates,

prepayment speeds, credit risk, etc.).

Level 3 – Significant unobservable inputs (including management’s assumptions in determining the fair

value of investments).

The inputs or methodology used for valuing securities are not an indication of the risk associated with

investing in those securities. The following is a summary of the Fund’s fair value measurements as of

August 31, 2009:


	Level 1	Level 2	Level 3	Total
Investments:
Municipal Bonds	$ —	$111,288,895	$ —	$111,288,895

Income Tax Information

The following information is presented on an income tax basis. Differences between amounts for financial

statement and federal income tax purposes are primarily due to timing differences in recognizing taxable

market discount, timing differences in recognizing certain gains and losses on investment transactions and

the treatment of investments in inverse floating rate transactions subject to Statement of Financial

Accounting Standards No. 140 (SFAS No. 140), if any. To the extent that differences arise that are

permanent in nature, such amounts are reclassified within the capital accounts on the Statement of

Assets and Liabilities presented in the annual report, based on their federal tax basis treatment;

temporary differences do not require reclassification. Temporary and permanent differences do not impact

the net asset value of the Fund.

At August 31, 2009, the cost of investments was $103,892,546.

Gross unrealized appreciation and gross unrealized depreciation of investments at August 31, 2009,

were as follows:


Gross unrealized:
Appreciation	$ 2,624,772
Depreciation	(3,192,119)
Net unrealized appreciation (depreciation) of investments	$ (567,347)


(1)	All percentages shown in the Portfolio of Investments are based on net assets applicable to Common
	shares unless otherwise noted.
(2)	Optional Call Provisions: Dates (month and year) and prices of the earliest optional call or redemption.
	There may be other call provisions at varying prices at later dates. Certain mortgage-backed securities
	may be subject to periodic principal paydowns.
(3)	Ratings: Using the higher of Standard & Poor's Group ("Standard & Poor's") or Moody's Investor Service,
	Inc. ("Moody's") rating. Ratings below BBB by Standard & Poor's or Baa by Moody's are considered to be
	below investment grade.
(4)	Backed by an escrow or trust containing sufficient U.S. Government or U.S. Government agency securities
	which ensure the timely payment of principal and interest. Such investments are normally considered to
	be equivalent to AAA rated securities.
(5)	Preferred Shares, at Liquidation Value as a percentage of Total Investments is 30.1%.
N/R	Not rated.
(ETM)	Escrowed to maturity.
(UB)	Underlying bond of an inverse floating rate trust reflected as a financing transaction pursuant to the
	provisions of SFAS No. 140.

Item 2. Controls and Procedures.

The registrant's principal executive and principal financial officers, or persons performing similar functions, have concluded that the registrant's disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940, as amended (the "1940 Act") (17 CFR 270.30a-3(c))) are effective, as of a date within 90 days of the filing date of this report that includes the disclosure required by this paragraph, based on their evaluation of the controls and procedures required by Rule 30a-3(b) under the 1940 Act (17 CFR 270.30a-3(b)) and Rule 13a-15(b) or 15d-15(b) under the Securities Exchange Act of 1934 (17 CFR 240.13a-15(b) or 240.15d-15(b)).
There were no changes in the registrant's internal control over financial reporting (as defined in Rule 30a-3(d) under the 1940 Act (17 CFR 270.30a-3(d)) that occurred during the registrant's last fiscal quarter that have materially affected, or are reasonably likely to materially affect, the registrant's internal control over financial reporting.

Item 3. Exhibits.

File as exhibits as part of this Form a separate certification for each principal executive officer and principal financial officer of the registrant as required by Rule 30a-2(a) under the 1940 Act (17 CFR 270.30a-2(a)), exactly as set forth below: See EX-99 CERT attached hereto.

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant) Nuveen Connecticut Premium Income Municipal Fund

By (Signature and Title)          /s/ Kevin J. McCarthy
                                                  Kevin J. McCarthy
                                                  Vice President and Secretary

Date October 30, 2009

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, this report has been signed below by the following persons on behalf of the registrant and in the capacities and on the dates indicated.

By (Signature and Title)         /s/ Gifford R. Zimmerman
                                                 Gifford R. Zimmerman
                                                 Chief Administrative Officer (principal executive officer)

Date October 30, 2009

By (Signature and Title)         /s/ Stephen D. Foy
                                                 Stephen D. Foy
                                                 Vice President and Controller (principal financial officer)

Date October 30, 2009

UNITED STATESSECURITIES AND EXCHANGE COMMISSIONWashington, DC 20549FORM N-Q

QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT INVESTMENT COMPANY

SIGNATURES

UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, DC 20549

FORM N-Q