The No. 1 seeded Huskies (32-1) will open against No. 16 Cornell on Sunday in Bridgeport, Conn.
The other No. 1 seeds are North Carolina, Tennessee and Maryland.
Connecticut, ranked atop the AP poll for 12 of the final 13 weeks, is hoping to get to the Final Four for the first time since 2004. The Huskies lost to LSU in the regional final last season.
If the Huskies dont get to the Final Four April 6-8 in Tampa, Fla. it will be the first Connecticut senior class in 20 years to not have played in at least the national semifinals.
No. 2 seed Rutgers handed Connecticut its lone loss during the season, beating the Huskies on Feb. 5 in a Big East matchup. Rutgers lost in the national championship game last season to Tennessee.
Defending champion Tennessee is the top seed in the Oklahoma City regional. The Lady Vols bid for back-to-back national championships begins Sunday against Oral Roberts.
Others in the Oklahoma City regional are No. 8 Utah vs. No. 9 Purdue, No. 5 Notre Dame vs. No. 12 Southern Methodist, No. 4 Oklahoma vs. No. 13 Illinois State, No. 6 Arizona State vs. No. 11 Temple, No. 3 Duke vs. No. 14 Murray State, No. 7 Syracuse vs. No. 10 Hartford, and No. 2 Texas A&M vs. No. 15 Texas-San Antonio.
Other games in the Greensboro regional are No. 8 Texas vs. No. 9 Minnesota, No. 5 Old Dominion vs. No. 12 Liberty, No. 4 Virginia vs. No. 13 UC Santa Barbara, No. 6 George Washington vs. No. 11 Auburn, No. 3 California vs. No. 14 San Diego, No. 7 Iowa State vs. No. 10 Georgia Tech, and No. 2 Rutgers vs. No. 15 Robert Morris.
North Carolina earned the top seed in the New Orleans Regional.
The Tar Heels open on Saturday against No. 16 Bucknell. The Tar Heels ran through the Atlantic Coast Conference undefeated. Their only two losses came against Tennessee and Connecticut.
Other games in the New Orleans regional are No. 8 Georgia vs No. 9 Iowa, No. 5 Kansas State vs. No. 12 Chattanooga, No. 4 Louisville vs. No. 13 Miami, Ohio, No. 6 Ohio State vs. No. 11 Florida State, No. 3 Oklahoma State vs. No. 14 East Tennessee State, No. 7 Marist vs. No. 10 DePaul, and No. 2 LSU vs. No. 15 Jackson State.
LSU has reached the Final Four the past four seasons