| Date | Location | Result | |
| Dec 26, 1984 | Anaheim, California | Iowa 55, Texas 17 | Box score |
| Dec 1, 1984 | Austin, Texas | Texas A&M 37, Texas 12 | Box score |
| Nov 24, 1984 | Waco, Texas | Baylor 24, Texas 10 | Box score |
| Nov 17, 1984 | Fort Worth, Texas | Texas 44, Texas Christian Univ 23 | Box score |
| Nov 10, 1984 | Austin, Texas | Houston 29, Texas 15 | Box score |
| Nov 3, 1984 | Lubbock, Texas | Texas 13, Texas Tech 10 | Box score |
| Oct 27, 1984 | Austin, Texas | Texas 13, Southern Methodist U 7 | Box score |
| Oct 20, 1984 | Austin, Texas | Texas 24, Arkansas 18 | Box score |
| Oct 13, 1984 | Dallas, Texas | Texas 15, Oklahoma 15 | Box score |
| Oct 6, 1984 | Houston, Texas | Texas 38, Rice 13 | Box score |
| Sep 29, 1984 | East Rutherford, NJ | Texas 28, Penn State 3 | Box score |
| Sep 15, 1984 | Austin, Texas | Texas 35, Auburn 27 | Box score |