Texas coach Augie Garrido is back in the NCAA tournament after two years away.
The Longhorns (41-19) are two wins away from returning to the College World Series, but those victories will have to come against Houston (48-16). The best-of-three super regional in Austin begins Friday.
The Cougars, who have not been to the College World Series since 1967, lost to Texas 3-2 back in March. Friday will mark the 126th meeting between the two former Southwest Conference members.