Defender Greer and striker Murray missed the opening two games through suspensions carried over from last season.
Greer, the summer signing from Swindon, has been named Seagulls captain and is set to replace either Tommy Elphick or Adam El-Abd at centre-half.
Brighton will be without Alan Navarro, who has suffered a cruciate injury which could end his season, and fellow midfielder Matt Sparrow who starts a three-game ban for his red card at Northampton in midweek.
Goalkeeper Peter Brezovan (wrist) and defender Lewis Dunk (foot) remain on the sidelines.
Casper Ankergren should return in goal after Michael Poke got a run-out in the cup while Inigo Calderon, Elliott Bennett and Ashley Barnes will hope for recalls.