| Date | Location | Result | |
| Dec 31, 1980 | Houston, Texas | North Carolina 16, Texas 7 | Box score |
| Nov 29, 1980 | Austin, Texas | Texas A&M 24, Texas 14 | Box score |
| Nov 22, 1980 | Waco, Texas | Baylor 16, Texas 0 | Box score |
| Nov 15, 1980 | Fort Worth, Texas | Texas 51, TCU 26 | Box score |
| Nov 8, 1980 | Austin, Texas | Texas 15, Houston 13 | Box score |
| Nov 1, 1980 | Lubbock, Texas | Texas Tech 24, Texas 20 | Box score |
| Oct 25, 1980 | Austin, Texas | SMU 20, Texas 6 | Box score |
| Oct 11, 1980 | Dallas, Texas | Texas 20, Oklahoma 13 | Box score |
| Oct 4, 1980 | Houston, Texas | Texas 41, Rice 28 | Box score |
| Sep 27, 1980 | Austin, Texas | Texas 35, Oregon State 0 | Box score |
| Sep 20, 1980 | Austin, Texas | Texas 35, Utah State 17 | Box score |
| Sep 1, 1980 | Austin, Texas | Texas 23, Arkansas 17 | Box score |