Following a three-game sweep of No. 8 Florida, Arkansas remains the unanimous No. 1 in the CBI composite Poll.
Texas went 2-1 against West Virginia and bumped up one spot to second. The Longhorns are second in four polls and fourth in the other two.
Vanderbilt had a 3-1 week and slid one place to third. The Commodores beat FIU before taking two of three from Kentucky. Vandy is second in two polls and third in the other four.
Tennessee went 3-1 and stayed in fourth. The Vols defeated Belmont before winning two of three at No. 17 South Carolina. UT is fourth in three polls, fifth in two and sixth in the other.
Mississippi State had a 4-0 week and maintained fifth. The Dawgs downed Jacksonville State before sweeping three at Alabama. MSU is third in one poll, fourth in one, sixth in three and eighth in the other.
NC State and Charlotte entered the poll, while Louisiana Tech and UCLA dropped out.
There are seven teams from the SEC, including four of the top five. There are three from the ACC, Big 12 and Pac-12, and single entries from American, Big West, Conference USA and West Coast Conference.
| CBI Composite Poll (5/24/21) | BA | CB | D1 | NCBWA | PG | USA | Composite | Last rank | |
| 1 | Arkansas (42-10) | 1 | 1 | 1 | 1 | 1 | 1 | 6 | 1 |
| 2 | Texas (40-13) | 4 | 4 | 2 | 2 | 2 | 2 | 16 | 3 |
| 3 | Vanderbilt (36-12) | 2 | 2 | 3 | 3 | 3 | 3 | 16 | 2 |
| 4 | Tennessee (42-14) | 5 | 5 | 4 | 4 | 6 | 4 | 28 | 4 |
| 5 | Mississippi State (40-13) | 6 | 3 | 8 | 6 | 4 | 6 | 33 | 5 |
| 6 | Notre Dame (29-10) | 3 | 7 | 7 | 8 | 5 | 8 | 38 | 7 |
| 7 | Texas Tech (35-13) | 7 | 11 | 5 | 5 | 7 | 5 | 40 | 6 |
| 8 | Arizona (38-14) | 8 | 6 | 6 | 7 | 8 | 7 | 42 | 9 |
| 9 | Stanford (31-13) | 10 | 9 | 9 | 12 | 9 | 12 | 61 | 14 |
| 10 | East Carolina (38-13) | 9 | 13 | 11 | 11 | 10 | 10 | 64 | 11 |
| 11 | Oregon (35-13) | 13 | 10 | 10 | 9 | 14 | 9 | 65 | 10 |
| 12 | Ole Miss (36-15) | 11 | 14 | 12 | 10 | 12 | 11 | 70 | 13 |
| 13 | Florida (35-16) | 12 | 12 | 13 | 13 | 11 | 13 | 74 | 8 |
| 14 | UC Irvine (36-16) | 14 | 15 | 17 | 15 | 15 | 15 | 91 | 18 |
| 15 | TCU (36-16) | 21 | 8 | 15 | 14 | 21 | 14 | 93 | 12 |
| 16 | NC State (28-15) | 15 | 18 | 16 | 25 | 16 | 17 | 107 | NR |
| 17 | Charlotte (39-17) | 16 | 23 | 22 | 17 | 19 | 19 | 116 | NR |
| 18 | Gonzaga (32-15) | 20 | 29 | 14 | 18 | 18 | 18 | 117 | 20 |
| 19 | South Carolina (33-20) | 25 | 16 | 26 | 16 | 24 | 24 | 131 | 17 |
| 20 | Florida State (29-21) | 17 | 31 | 23 | 24 | 17 | 22 | 134 | 15 |