Season:
| Date | Rank | Opponent | Stadium | Results | Record |
|---|---|---|---|---|---|
| September 10 | #16 | at #5 USC | Los Angeles Memorial Coliseum | W 17–10 | 1-0 |
| September 18 | #9 | Southern Miss | Denny Stadium | W 42–6 | 2-0 |
| September 25 | #8 | at Florida | Florida Field | W 38–0 | 3-0 |
| October 2 | #7 | Ole Miss | Legion Field | W 40–6 | 4-0 |
| October 9 | #6 | at Vanderbilt | Dudley Field | W 42–0 | 5-0 |
| October 16 | #4 | #14 Tennessee | Legion Field | W 32–15 | 6-0 |
| October 23 | #4 | Houston | Denny Stadium | W 34–20 | 7-0 |
| October 30 | #4 | at Mississippi State | Veterans Memorial Stadium | W 41–10 | 8-0 |
| November 6 | #4 | at #18 LSU | Tiger Stadium | W 14–7 | 9-0 |
| November 13 | #4 | Miami (FL) | Denny Stadium | W 31–3 | 10-0 |
| November 27 | #3 | vs #5 Auburn | Legion Field | W 31–7 | 11-0 |
| January 1 | #2 | vs #1 Nebraska | Miami Orange Bowl | L 6–38 | 11-1 |