He has given the Eagles a genuine chance of beating off relegation as Palace enter the final 13 matches, which starts at Everton tonight.
Pulis said: "I'd have taken where we are now when I took the job. I'd have bitten your hand off."
But when asked if Palace can ease up now they are out of the drop zone, Pulis replied: "No, I don't think that will happen at this club.
"You have got too many clubs around you with too much experience in the Premier League to know about the battle ahead.
"They will understand what it means not only to their football club, but to the supporters as well.
"But the results and players have been outstanding here. The results and the players have been outstanding."
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