Jeff Withey scored 14 points and Travis Releford scored 12 for the Jayhawks (16-1, 4-0 Big 12) who trailed by 11 at the half.
Sheldon McClellan led Texas (8-9, 0-4) with 18 points. Julien Lewis contributed 11 and seven rebounds for the Longhorns.
Pregnant Mila Kunis wins 'Best Villain' at MTV Movie Awards
'Happy' fan videos make Pharrell cry [VIDEO]