Oklahoma State basketball coach Sean Sutton, left, and center Obi Muonelo walk past the Big 12 regular-season championship trophy. It was awarded to Texas after UT held off OSU, 62-57, Sunday in Austin, Texas.

Austin, Texas ? Texas appeared on the verge of giving away its share of the Big 12 title and the No. 1 seed in the conference tournament.

Sorry, Kansas, the Longhorns weren’t feeling quite that generous.

D.J. Augustin scored 20 points, and the No. 9 Longhorns won their share of the Big 12 regular-season title for the second time in three years Sunday with a tough 62-57 victory over Oklahoma State.

The victory also clinched the top seed in the league tournament later this week, which Texas (26-5, 13-3) earned by beating the co-champion Jayhawks in February.

After the game, Longhorns players hoisted the conference trophy at midcourt in a short celebration. A few minutes later, it was back to business.

“We’re pretty happy,” guard A.J. Abrams said. “This is one goal we set. The season’s not over.”

It didn’t come easily. The Cowboys (16-14, 7-9) kept it close the entire way.

It wasn’t until Abrams broke a game-long shooting slump with two late baskets and Damion James made four free throws in the final 36 seconds that Texas finally put it out of reach. James finished with 13 points and 18 rebounds.

“We didn’t expect it to be easy. We had to earn it,” Texas coach Rick Barnes said. “I thought we were jumpy. They knew what they were playing for.”

Texas could face the Cowboys (16-14, 7-9) again in just a few days. The Longhorns will play the winner of the Texas Tech-Oklahoma State first-round matchup.