The Sooners (10-2, 8-1 Big 12) won their fifth consecutive game and can win the Big 12 championship outright if Texas defeats Kansas State Saturday night.
Jones completed 24-of-44 passes for 244 yards. Damien Williams carried 18 times for 115 yards and scored twice, including a 66-yard dash early in the third quarter that gave the Sooners a 21-17 lead.
Trevone Boykin completed 17-of-31 passes for 231 and a touchdown and also ran in a 6-yard score for TCU (7-5, 4-5). The Horned Frogs converted only 3-of-15 third-down plays and fell to 0-4 in conference play at home.