Record: 55-45-3, .549 W-L% (3rd of 14) (Schedule and Results)
SRS: 11.11 (1st of 14) ▪ SOS: 10.11 (1st of 14)
Conference Champion: Arkansas and Houston
Ranked in Preseason AP Poll: 4 (Arkansas, Houston, Texas and Texas A&M)
Ranked in Final AP Poll: 4 (Arkansas, Baylor, Houston and Texas)
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
|---|---|---|---|---|---|---|---|---|
| 1 | Sep 8, 1979 | Sat | Southern Methodist | 35 | Rice | 17 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 2 | Sep 15, 1979 | Sat | Baylor | 17 | Texas A&M | 7 | ||
| 3 | Sep 15, 1979 | Sat | (20) Southern Methodist | 27 | @ | Texas Christian | 7 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 4 | Sep 29, 1979 | Sat | Baylor | 27 | Texas Tech | 17 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 5 | Oct 6, 1979 | Sat | (13) Arkansas | 16 | @ | Texas Christian | 13 | |
| 6 | Oct 6, 1979 | Sat | (6) Houston | 13 | Baylor | 10 | ||
| 7 | Oct 6, 1979 | Sat | (4) Texas | 26 | Rice | 9 | ||
| 8 | Oct 6, 1979 | Sat | Texas Tech | 21 | Texas A&M | 20 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 9 | Oct 13, 1979 | Sat | (12) Arkansas | 20 | @ | Texas Tech | 6 | |
| 10 | Oct 13, 1979 | Sat | Baylor | 24 | @ | Southern Methodist | 21 | |
| 11 | Oct 13, 1979 | Sat | (7) Houston | 17 | @ | Texas A&M | 14 | |
| 12 | Oct 13, 1979 | Sat | Texas Christian | 17 | @ | Rice | 7 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 13 | Oct 20, 1979 | Sat | (10) Arkansas | 17 | (2) Texas | 14 | Little Rock, AR | |
| 14 | Oct 20, 1979 | Sat | (5) Houston | 37 | Southern Methodist | 10 | ||
| 15 | Oct 20, 1979 | Sat | Texas Tech | 30 | Rice | 7 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 16 | Oct 27, 1979 | Sat | Baylor | 16 | Texas Christian | 3 | ||
| 17 | Oct 27, 1979 | Sat | (6) Houston | 13 | @ | (4) Arkansas | 10 | |
| 18 | Oct 27, 1979 | Sat | (9) Texas | 30 | @ | Southern Methodist | 6 | |
| 19 | Oct 27, 1979 | Sat | Texas A&M | 41 | @ | Rice | 15 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 20 | Nov 3, 1979 | Sat | (9) Arkansas | 34 | @ | Rice | 7 | |
| 21 | Nov 3, 1979 | Sat | (4) Houston | 21 | @ | Texas Christian | 10 | |
| 22 | Nov 3, 1979 | Sat | (8) Texas | 14 | Texas Tech | 6 | ||
| 23 | Nov 3, 1979 | Sat | Texas A&M | 47 | Southern Methodist | 14 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 24 | Nov 10, 1979 | Sat | (9) Arkansas | 29 | (17) Baylor | 20 | ||
| 25 | Nov 10, 1979 | Sat | (8) Texas | 21 | @ | (5) Houston | 13 | |
| 26 | Nov 10, 1979 | Sat | Texas Christian | 3 | Texas Tech | 3 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 27 | Nov 17, 1979 | Sat | (8) Arkansas | 22 | @ | Texas A&M | 10 | |
| 28 | Nov 17, 1979 | Sat | (20) Baylor | 45 | Rice | 14 | ||
| 29 | Nov 17, 1979 | Sat | Southern Methodist | 35 | Texas Tech | 10 | ||
| 30 | Nov 17, 1979 | Sat | (6) Texas | 35 | Texas Christian | 10 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 31 | Nov 24, 1979 | Sat | (7) Arkansas | 31 | Southern Methodist | 7 | Little Rock, AR | |
| 32 | Nov 24, 1979 | Sat | (9) Houston | 14 | Texas Tech | 10 | ||
| 33 | Nov 24, 1979 | Sat | (6) Texas | 13 | (17) Baylor | 0 | ||
| 34 | Nov 24, 1979 | Sat | Texas A&M | 30 | @ | Texas Christian | 7 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 35 | Dec 1, 1979 | Sat | (10) Houston | 63 | @ | Rice | 0 | |
| 36 | Dec 1, 1979 | Sat | Texas A&M | 13 | (6) Texas | 7 |