Eagles boss Roy Hodgson confirmed the centre-back was set to be sidelined "for a considerable period" after suffering a hamstring problem during the 1-1 Premier League draw at Norwich on New Year's Day.
Defender Gary Cahill has resumed training after his knee problem, but is not expected to feature, while left-back Patrick Van Aanholt (hamstring), forward Christian Benteke (muscle strain), Joel Ward (knee),
Scott Dann (calf), Jeffrey Schlupp (hip) and Andros Townsend (groin) all continue their own recovery.
Former England forward Wayne Rooney could feature for Derby again, having made his debut in the Sky Bet Championship win over Barnsley.
Rooney, who agreed an 18-month player-coach deal with the Rams back in August, was installed as captain and played the full 90 minutes, having a hand in both goals.