The 1961-1962 Tennessee basketball team had a tough season with a record of 4-19, finishing 12th in the SEC MBB. Led by coach John Sines, the team struggled to find their rhythm and fell to the bottom of the conference standings.

Despite the team's struggles, there were some bright spots in their offensive game. They averaged 70.5 points per game, which ranked 94th out of 173 teams in the nation. However, their defense struggled, allowing 81.1 points per game, which was the 167th ranked defense out of 173 teams.