No. 3 Texas held off a furious rally by Baylor to win 69-60 on Saturday night.
The Longhorns have won 10 games and Ohio State's loss to Wisconsin could make Texas a candidate for the nation's top spot.
"We don't want No. 1," sophomore forward Jordan Hamilton said.
Texas started 17-0 and reached No. 1 for the first time in school history before a quick losing skid left them unranked in a matter of weeks.
"I don't want to be No. 1," Tristan Thompson said. "Enjoy No. 3 and keep climbing that mountain."
The Longhorns are 10-0 in the Big 12 this season.