The Volunteers (10-9, 3-3) went ahead twice in the first half, when Kentucky lost top rebounder and second-leading scorer Chuck Hayes, who was hit in the nose. Kentucky officials said at halftime his nose was broken.
But it didn't stop the Wildcats from putting together a decisive 19-5 run before halftime.
After Chris Lofton hit a 3 to put the Vols up 21-20 with 9:21 remaining before halftime, Kentucky hit three straight 3-pointers to start the run. When Azubuike dunked 7 minutes later, the Wildcats went ahead 39-26.
But most of the cheering came from the large and loud contingent of Kentucky faithful in the arena.
The Wildcats have won six straight over Tennessee, but their most recent wins in Thompson-Boling Arena have been close. The Vols tried to set up another frantic finish to match last year's overtime game.
Kentucky pushed its lead to 13 points early in the second half, and Tennessee had a short 7-0 run on two layups by C.J. Watson and a 3 by Scooter McFadgon that cut it to 49-43 with 13:50 to go. But the Wildcats reeled off a 15-3 run to put them up 64-46 with 8:44 left, sealing the victory.
Lofton, Mr. Basketball in Kentucky last year, led the Vols with 17 points while Major Wingate added 14 and Watson had 12. Andre Patterson had 10 of Tennessee's 29 rebounds.
Kentucky had 41 rebounds, often getting second and third chances at the basket.
Sparks scored 14 points in the first half and was 4-of-10 from beyond the arc.