Allardyce has dismissed the suggestion that last weekend's damaging defeat was the result of a tactical switch to a back three.
Despite only playing eight games on loan for Palace, Liverpool defender Mamadou Sakho is on the six-man shortlist, which also includes wingers Wilfried Zaha and Andros Townsend, midfielders Jason Puncheon and Yohan Cabaye and striker Christian Benteke.
He is now crocked with a knee injury, but has an outside chance of playing in Palace's relegation run-in.
Palace know a draw at home to Hull will be enough to guarantee Premier League survival but if they lose they will travel to Manchester United on the final day needing a win to be sure of safety.
Allardyce said: "We haven't had the full squad fit since I've been here".
"It won't be long enough to think he'll be fit for Old Trafford".
Liverpool will still be hoping for a quick recovery and an even quicker sale in the summer.
Allardyce says he was warned that was the case by the club's chairman Steve Parish upon his appointment to succeed Alan Pardew in December, but has only discovered the extent of it during the five months since.
Sakho and Markovic joined their respective Premier League sides in the January transfer window, and went on to establish themselves as key players. "It may be a calculated risk".
Zaha was once again the most-fouled player on the pitch in Saturday's 5-0 defeat away to Manchester City. "I believe if those players had been available we would be top half by now". He's done good things for our team since he came, but now is the moment to find another solution.