Taylor also grabbed seven rebounds and was a perfect 12-of-12 from the free-throw line for the Commodores (18-5, 7-2 SEC), who raised their home record to 12-0 this season and have posted 17 straight home wins overall.
The Volunteers (18-5, 6-3) dropped the season's series to Vanderbilt with the loss.
J.P. Prince led Tennessee with 19 points. Wayne Chism had in 16 points and seven rebounds in the loss.