Alabama led by as many as 18 early in the second half, but the Vols had two runs and eventually cut it to five with 1:26 remaining, setting up a frantic finish.
Dudley missed a free throw, but Tennessee's C.J. Watson missed a 3-pointer at the other end. Winston was fouled intentionally to stop the clock, and he missed the free throw. Dudley grabbed the rebound and scored to put Alabama ahead 70-63 with 45.9 seconds remaining, but Tennessee wasn't finished.
Watson hit a jumper and Jon Higgins had a 3-pointer with 19.8 seconds left to pull the Vols within three.
After Williams made a pair of free throws, Watson hit a 3-pointer with 13.8 seconds to go to trim it to 73-71. Tennessee couldn't get any closer as Alabama finished by scoring three free throws and preventing the Vols from getting another good look at the basket.
Alabama started to gain confidence early, hitting 6-of-10 3-pointers in the first half. Holden had cut the lead to seven with a 3-pointer with 16 minutes left. Dudley had a 3-point play and a basket to start an 11-0 run for the Tide. Earnest Shelton's 3-pointer gave the Tide a 56-38 lead with 13:26 to go.
The Vols got as close as 61-51 after Holden's 3-pointer with 9:28 to go. Tennessee had cut the lead to 11 after a 6-0 run only to see Williams hit a jumper at the other end to push it back to 13.