| Week | Date | Rank | Rec | Points | FPV | CP | BCS | Last Week |
|---|---|---|---|---|---|---|---|---|
| Pre | Aug 24 | NR | 0-0 | 0 | 0 | -- | DNP | |
| 1 | Sep 7 | 25 | 1-0 | 123 | 0 | -- | ||
| 2 | Sep 14 | 21 | 2-0 | 330 | 0 | -- | ||
| 3 | Sep 21 | 25 | 2-1 | 132 | 0 | -- | ||
| 4 | Sep 28 | 23 | 2-1 | 218 | 0 | -- | ||
| 5 | Oct 5 | 21 | 3-1 | 288 | 0 | -- | ||
| 6 | Oct 12 | 20 | 4-1 | 457 | 0 | -- | ||
| 7 | Oct 19 | 19 | 5-1 | 547 | 0 | -- | ||
| 8 | Oct 26 | 18 | 5-2 | 472 | 0 | 18 | ||
| 9 | Nov 2 | 18 | 6-2 | 578 | 0 | NR | ||
| 10 | Nov 9 | 13 | 7-2 | 752 | 0 | 13 | ||
| 11 | Nov 16 | 19 | 7-3 | 456 | 0 | 19 | ||
| 12 | Nov 23 | 24 | 7-4 | 232 | 0 | NR | ||
| 13 | Nov 30 | 24 | 7-4 | 230 | 0 | NR | ||
| 14 | Dec 7 | 23 | 7-4 | 206 | 0 | NR | ||
| Final | Jan 5 | 21 | 8-4 | 335 | 0 | -- | W 34-31 vs West Virginia (Insight) |
Note: Missouri'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.