| Week | Date | Rank | Rec | Points | FPV | CP | Last Week |
|---|---|---|---|---|---|---|---|
| Pre | N/A | 14 | 0-0 | 279 | 0 | DNP | |
| 1 | Sep 5 | 11 | 1-0 | 459 | 0 | W 50-6 vs Oregon State | |
| 2 | Sep 12 | 7 | 2-0 | 667 | 0 | W 38-0 vs Utah | |
| 3 | Sep 19 | 4 | 3-0 | 933 | 0 | W 45-6 at Washington State | |
| 4 | Sep 26 | 3 | 4-0 | 1001 | 0 | W 27-10 vs Cal Fullerton | |
| 5 | Oct 3 | 10 | 4-0-1 | 680 | 0 | T 33-33 at California | |
| 6 | Oct 10 | 9 | 5-0-1 | 702 | 0 | W 52-21 vs Colorado State | |
| 7 | Oct 17 | 19 | 5-1-1 | 186 | 0 | L 19-10 vs Oregon | |
| 8 | Oct 24 | NR | 5-2-1 | 0 | 0 | L 31-22 at Stanford |
Note: Arizona's ranking in the final 1961 poll has been changed to unranked after the original AP wire story and poll was revisited and confirmed across several newspapers.