 | | TCU | 52 | | 4-12 |  | | Rice | 64 | | 6-10 | | Mar 6, 1984 | |
|  | | Baylor | 48 | | 1-15 |  | | Texas Tech | 63 | | 11-7 | | Mar 8, 1984 | |  | | Texas | 54 | | 3-13 |  | | Texas A&M | 75 | | 7-9 | | Mar 8, 1984 | |
| | | Texas A&M | 59 | | 7-9 |  | | SMU | 57 | | 12-4 | | Mar 9, 1984 | | | | Texas Tech | 48 | | 11-7 | | | Rice | 53 | | 6-10 | | Mar 9, 1984 | |
| | | Texas A&M | 47 | | 7-9 |  | | Arkansas | 49 | | 14-2 | | Mar 10, 1984 | | | | Rice | 50 | | 6-10 |  | | Houston | 53 | | 15-1 | | Mar 10, 1984 | |
| | | Arkansas | 56 | | 14-2 | | | Houston | 57 | | 15-1 | | Mar 11, 1984 | |
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