During his time in Knoxville, Bumper became a 3-year starter, set the Tennessee career rebounding record (1,113 rebounds), a 16.9 rpg rate; was twice named All-SEC and was named to Converse's All-American team and become known to scores of Vols fans as the "Chairman of the Boards."
During his time in Knoxville, Bumper achieved significant success as a basketball player for Tennessee, including three years as a starter, breaking the school record for rebounds, averaging 16.9 rebounds per game, being named All-SEC twice, and earning recognition on Converse's All-American team, earning him the nickname "Chairman of the Boards" among fans.