Wilebski's triple with 2:27 left in game gave Florida 61-54 lead and wrapped up a 16th straight victory for the Gators (22-2, 11-0 SEC), who haven't lost since early December.
Michael Frazier II added 11 points.
Casey Prather supplied nine with eight rebounds for Florida.
The Volunteers (15-9, 6-5) were led by Jarnell Stokes with 20 points and 11 rebounds.
Jordan McRae contributed 17 points.