Skipper Luka Milivojevic serves the final match of his three-game suspension after receiving a red card in the FA Cup defeat to Derby at the start of the month.
Bednarek has played 26 matches for the Saints this season and scored his first goal in a defeat to Wolves at the weekend, but has sustained an Achilles injury.
Hasenhuttl admitted the rest of his squad were tired following Saturday's defeat and said he would assess their fitness levels on Monday.
Crystal Palace provisional squad: Guaita, Ward, Tomkins, Cahill, Riedewald, McCarthy, Kouyate, McArthur, Ayew, Zaha, Tosun, Hennessey, Kelly, Woods, Dann, Meyer, Pierrick, Daly, Kirby, McGregor, Boateng, Henderson.
Southampton provisional squad: McCarthy, Soares, Stephens, Bertrand, Armstrong, Ward-Prowse, Hojbjerg, Redmond, Long, Ings, Gunn, Yoshida, Adams, Boufal, Djenepo, Romeu, Vestergaard, Boufal, Obafemi.