| Date | Location | Result | |
| Jan 1, 1969 | Dallas, Texas | Texas 36, Tennessee 13 | Box score |
| Nov 28, 1968 | Austin, Texas | Texas 35, Texas A&M 14 | Box score |
| Nov 16, 1968 | Fort Worth, Texas | Texas 47, TCU 21 | Box score |
| Nov 9, 1968 | Waco, Texas | Texas 47, Baylor 26 | Box score |
| Nov 2, 1968 | Austin, Texas | Texas 38, SMU 7 | Box score |
| Oct 26, 1968 | Houston, Texas | Texas 38, Rice 14 | Box score |
| Oct 19, 1968 | Austin, Texas | Texas 39, Arkansas 29 | Box score |
| Oct 12, 1968 | Dallas, Texas | Texas 26, Oklahoma 20 | Box score |
| Oct 5, 1968 | Austin, Texas | Texas 31, Oklahoma State 3 | Box score |
| Sep 28, 1968 | Lubbock, Texas | Texas Tech 31, Texas 22 | Box score |
| Sep 21, 1968 | Austin, Texas | Houston 20, Texas 20 | Box score |