The Eagles talisman was forced off in Tuesday’s win over Newcastle with manager Roy Hodgson confirming a hamstring problem following the game.
And the Palace boss is still not able to give a return date for Zaha.
Hodgson said:“We don’t know how long it’s going to keep him out. He certainly won’t be available for this game, and it could be much longer than that.
“At the moment of course it’s the early stage of the injury and he’s still being assessed. It’s totally unrealistic to suggest he’d be ready for this game.
“You never know with these hamstring injuries, but Wilf is incredible in terms of recovery so I wouldn’t want to put a definite timeline on it. But it’s a muscle strain and all muscle strains take time to heal.
“Our people are doing their level best to get him back on the field.”
Zaha’s absence could give January signing Jean-Philippe Mateta a chance to make his debut having sat out the first game following his arrival due to visa issues before being an unused substitute against Wolves and Newcastle.
“I think JP is more than ready and I won’t have any hesitations in using him,” said Hodgson.
Predicted XI (4-4-2): Gauita; Clyne, Dann, Cahill, Van Aanholt; Ayew, Riedewald, Milivojevic, Eze; Mateta, Batshuayi
Crystal Palace squad from: Guaita, Butland, Henderson, Van Aanholt, Mitchell, Dann, Cahill, Ward, Clyne, Kelly, Woods, Kouyate, Townsend, McArthur, McCarthy, Riedewald, Kirby, Eze, Ayew, Benteke, Batshuayi, Pierrick, Mateta
Injured: Ferguson (knee), Hennessey (thigh), Wickham (thigh), Tomkins (eye), Schlupp, Zaha (hamstring)