| Date | Location | Result | |
| Jan 1, 1962 | Dallas, Texas | Texas 12, Mississippi 7 | Box score |
| Nov 23, 1961 | College Station, TX | Texas 25, Texas A&M 0 | Box score |
| Nov 18, 1961 | Austin, Texas | TCU 6, Texas 0 | Box score |
| Nov 11, 1961 | Austin, Texas | Texas 33, Baylor 7 | Box score |
| Nov 4, 1961 | Dallas, Texas | Texas 27, SMU 0 | Box score |
| Oct 28, 1961 | Austin, Texas | Texas 34, Rice 7 | Box score |
| Oct 21, 1961 | Fayetteville, Ark. | Texas 33, Arkansas 7 | Box score |
| Oct 14, 1961 | Dallas, Texas | Texas 28, Oklahoma 7 | Box score |
| Oct 7, 1961 | Austin, Texas | Texas 41, Washington State 8 | Box score |
| Sep 30, 1961 | Austin, Texas | Texas 42, Texas Tech 14 | Box score |
| Sep 23, 1961 | Berkeley, California | Texas 28, California 3 | Box score |