Palace are one point above the relegation zone but tomorrow host a Watford side without a win in three matches.
Allardyce knows survival is his priority but has spoken of his ambition to improve the club if they cling on to their top-flight status.
“The club [have] done a magnificent job in sustaining Premier League status,” he said. “But you must not rest on your laurels. You must think bigger.
“This season perhaps everyone thought they were going to do bigger and better, but we have stumbled.
"If we can overcome this hiccup and stay in the league, then growing the club would be the first thing on my mind.
“Not just talking about survival, something a bit better than that. By progressing you do not stand still, and if you do not stand still you obviously finish higher in the League.
“From the academy upwards, bettering the facilities, and talk about the stadium. That can all be sustained if you get good steady growth in the team.”
Watford midfielder Etienne Capoue is a doubt because of illness but Daryl Janmaat and Nordin Amrabat are back after injury.