The Eagles have given themselves hope of avoiding the drop in recent weeks, with back-to-back wins in the Premier League moving them a point clear of the bottom three.
But safety is far from guaranteed, with 11 games still left to play, and Allardyce is already having nightmares about what could happen if Palace drop into the Championship.
Reports this week have already suggested goalkeeper Steve Mandanda could be on his way out in the summer although the Frenchman has since denied he has any interest in returning to Marseille.
Allardyce will be happy to see Mandanda dismiss reports over his future but he is worried about losing other members of his squad at the end of the season if the Londoners are not a Premier League team.
"I think he's [Mandanda] cleared it up. I don't know who will be here based on the position we are in," Allardyce said.
"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.
"Thirty-eight [points] for me. It used to be the magic 40 but the last few years 38 has been enough. But you've got to try and win more than that, you can't just strive for 38. The quicker you accumulate the points, the quicker you relieve the pressure."