Egbunu tore a ligament in his right thumb during practice Tuesday, leaving his availability against Arkansas on Thursday in doubt. The 6-foot-11 sophomore has been cleared to play and will dress for the game, but coach Mike White says "realistically, I don't know how much he'll be able to go."
Egbunu has been fitted with a brace, which could affect his ability to catch, dribble and shoot.
Hayes and Rimmer likely would have their hands full with Razorbacks center Moses Kingsley, who averages 16.1 points and 9.2 rebounds per game.
As of Wednesday afternoon, the Gators were listed among the "next four out" in ESPN bracketologist Joe Lunardi's latest update.
The Associated Press contributed to this report.