Team: Season:
| Date | Opponent | Stadium | Results |
| Saturday, Sept. 5 | at Notre Dame | Notre Dame Stadium | L 3-38 (0-1) |
| Saturday, Sept. 12 | Rice | Darrell K Royal - Texas Memorial Stadium | W 42-28 (1-1) |
| Saturday, Sept. 19 | California | Darrell K Royal - Texas Memorial Stadium | L 44-45 (1-2) |
| Saturday, Sept. 26 | Oklahoma State | Darrell K Royal - Texas Memorial Stadium | L 27-30 (1-3) |
| Saturday, Oct. 3 | at TCU | Amon G. Carter Stadium | L 7-50 (1-4) |
| Saturday, Oct. 10 | Oklahoma | Cotton Bowl | W 24-17 (2-4) |
| Saturday, Oct. 17 | Open Date | | |
| Saturday, Oct. 24 | Kansas State | Darrell K Royal - Texas Memorial Stadium | W 23-9 (3-4) |
| Saturday, Oct. 31 | at Iowa State | Jack Trice Stadium | L 0-24 (3-5) |
| Saturday, Nov. 7 | Kansas | Darrell K Royal - Texas Memorial Stadium | W 59-20 (4-5) |
| Saturday, Nov. 14 | at West Virginia | Mountaineer Stadium | L 20-38 (4-6) |
| Saturday, Nov. 21 | Open Date | | |
| Thursday, Nov. 26 | Texas Tech | Darrell K Royal - Texas Memorial Stadium | L 45-48 (4-7) |
| Saturday, Dec. 5 | at Baylor | McLane Stadium | W 23-17 (5-7) |
* – Conference Game
