| Week | Date | Rank | Rec | Points | FPV | CP | CFP | Last Week |
|---|---|---|---|---|---|---|---|---|
| Pre | Aug 19 | RV | 0-0 | 1 | 0 | NR | -- | DNP |
| 3 | Sep 15 | NR | 2-1 | 0 | 0 | RV | -- | W 28-14 vs Texas Tech |
| 4 | Sep 22 | NR | 2-1 | 0 | 0 | RV | -- | DNP |
| 6 | Oct 6 | RV | 4-1 | 11 | 0 | RV | -- | W 35-30 at Colorado |
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.