Standings
| Overall | Conference | Points Per Game | SRS | Polls | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| School | W | L | T | Pct | W | L | T | Pct | Off | Def | SRS | SOS | AP Pre | AP High | AP Rank | Notes |
| Texas Christian | 8 | 2 | 1 | .773 | 5 | 1 | 0 | .833 | 19.8 | 7.1 | 17.32 | 6.59 | 8 | 6 | 10 | |
| SMU | 6 | 4 | 0 | .600 | 4 | 2 | 0 | .667 | 20.3 | 13.4 | 15.04 | 9.24 | 17 | 15 | 18 | |
| Rice | 5 | 5 | 0 | .500 | 4 | 2 | 0 | .667 | 17.8 | 15.5 | 12.61 | 10.51 | 13 | |||
| Texas | 7 | 3 | 0 | .700 | 3 | 3 | 0 | .500 | 15.7 | 15.2 | 10.11 | 7.81 | 11 | 4 | ||
| Arkansas | 4 | 6 | 0 | .400 | 2 | 4 | 0 | .333 | 14.7 | 15.0 | 4.11 | 7.11 | ||||
| Texas A&M | 4 | 6 | 0 | .400 | 2 | 4 | 0 | .333 | 12.4 | 21.7 | -0.62 | 6.88 | 20 | 20 | ||
| Baylor | 3 | 7 | 0 | .300 | 1 | 5 | 0 | .167 | 15.9 | 18.1 | 2.59 | 5.69 | ||||
1 Bowl Game
- Number in parentheses indicates AP rank at time of bowl game
| Date | Bowl | Pts | Pts | Notes | ||
|---|---|---|---|---|---|---|
| 1959-01-01 | Cotton Bowl | Air Force (8) | 0 | Texas Christian (7) | 0 | Dallas, TX |
1958 Conference Leaders