Despite leading the Eagles to 11th in the Premier League table with two games remaining, Pulis believes that his side will once again be one of the favourites to be relegated at the beginning of the new campaign.
"The three clubs that come up – plus ourselves – will again be the favourites to get relegated," Pulis is quoted as saying by The Mirror.
"People have truthfully got to keep their feet on the ground. This year has been unbelievable. A remarkable achievement.
"You mustn't take your foot off the pedal and get complacent expecting more and more. That's what other clubs do and get in trouble."
Palace host Liverpool at Selhurst Park on Monday night.