"Securing our position in the Premier League will mean the majority of players will still be here. I dread to think what will happen if we don't secure our status," Allardyce told reporters.
On-loan Liverpool defender Mamadou Sakho's composure in the heart of defence has been instrumental in Palace winning back-to-back games for the first time since Allardyce's appointment in December.
Allardyce admitted he would like to secure the French centre-back, who joined the club in January, on a permanent deal if Palace stay up, although the price is likely to be high.
"That would be a big negotiation if we're still in the Premier League at the end of the season," the former England manager said.
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"At this moment in time he chose Crystal Palace to play first-team football. He's worked extremely hard at getting himself fitter... He's shown he is not just a good defender but also his capabilities on the ball."
Palace have been in the Premier League since they beat Watford in the play-off final in 2013.
Watford, who are currently 13th in the Premier League, were eventually promoted in 2015.
(Reporting by Aditi Prakash in Bengaluru; Editing by Keith Weir)
