Costa, who has been troubled by a hamstring problem in recent weeks has an undisclosed problem, while Ramires (groin) and Didier Drogba (ankle) are also doubtful.
Andre Schurrle (illness) and John Obi Mikel (undisclosed) are also to be assessed prior to the Selhurst Park clash.
Crystal Palace defender Scott Dann has been ruled out of Saturday's Barclays Premier League clash with Chelsea.
Dann has a knee injury and will miss the Selhurst Park showdown, but is expected to return against West Brom a week later.
Diego Costa is an injury doubt for Saturday's game with Crystal Palace[GETTY]
Otherwise Palace manager Neil Warnock has a fully fit squad to select from.
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