The seeding awarded Monday means the Bears (44-14) will get to host one of eight super regionals if they win the Waco regional that includes Dallas Baptist (39-17), Texas-Arlington (36-23) and Oral Roberts. Baylor opens against Oral Roberts.
Rice and Texas A&M also are hosting double-elimination regionals. The Owls (40-17) face Prairie View (28-23) in their opener, while Sam Houston State (38-20) faces Arkansas.
The Aggies (42-16) open against Dayton, and TCU (36-19) will face Ole Miss.
All the regionals start Friday.
The Longhorns last missed the tournament in coach Augie Garrido's second season.