- NCAA consensus first-team All-American in 1947 and consensus second-team All-American in 1943
- All-American Recognition: 1943 (Converse 1st Team) and 1947 (Converse 1st Team, National Association of Basketball Coaches 1st Team)
- Leading scorer for 1947 NCAA Tournament runner-up (24-7 record)
- Averaged 16.6 points in five NCAA Tournament games in 1943 and 1947 (3-2 record).
- NOTE: Tucker originally attended Kansas State before transferring to OU.