Texas broke open the game with a first-half run that turned into a 10-point lead and pushed its advantage to 16 points in the second half with another run. Those stretches combined to send the Longhorns (28-7) to the tournament's third round Sunday against West Region No. 5-seed Arizona, which edged 12th-seeded Memphis 77-75 later Friday.
Oakland's season ended with a 25-9 record.
The Grizzlies were within 14-13 before Texas posted a 15-6 run, with J'Covan Brown contributing seven points, for a 10-point edge with 8:11 left in the half. The Longhorns scored nine straight points for a 66-44 lead with 13:25 to play.
Oakland made things interesting when Reggie Hamilton hit a jumper and Larry Wright dropped in a 3-pointer that cut the Texas lead to 80-75 with 1:25 to go. But Corey Joseph was able to hit three free throws down the stretch that kept the Grizzles, even with four points in the final 5 seconds, at bay.
Brown led the Longhorns with 21 points while Jordan Hamilton ended with 19 points and 11 rebounds and Thompson chipped in 17 points and 10 rebounds. Oakland got 25 points from Reggie Hamilton, Keith Benson had 15 points and 10 rebounds and Will Hudson 14 points and 10 rebounds.