| Wk 2 | Sat 8 Sep | W | at UCLA | 24- | 16 |
(1-0) | |
| Wk 3 | Sat 15 Sep | W | Florida | 14- | 10 |
(2-0) | |
| Wk 5 | Sat 29 Sep | W | West Texas A&M | 49- | 10 |
(3-0) | |
| Wk 6 | Sat 6 Oct | W | Baylor | 13- | 10 |
(4-0) | |
| Wk 7 | Sat 13 Oct | W | at Texas A&M | 17- | 14 |
(5-0) | |
| Wk 8 | Sat 20 Oct | W | SMU | 37- | 10 |
(6-0) | |
| Wk 9 | Sat 27 Oct | W | at Arkansas | 13- | 10 |
(7-0) | |
| Wk 10 | Sat 3 Nov | W | at TCU | 21- | 10 |
(8-0) | |
| Wk 11 | Sat 10 Nov | L | Texas | 13- | 21 |
(8-1) | |
| Wk 13 | Sat 24 Nov | W | Texas Tech | 14- | 10 |
(9-1) | |
| Wk 14 | Sat 1 Dec | W | at Rice | 63- | 0 |
(10-1) | |
| Cotton | Tue 1 Jan | W | vs Nebraska | 17- | 14 |
(11-1) |