The Potters go to Upton Park tomorrow.
"I thought Wolves were good (on Tuesday)", Pulis said.
"They worked their socks off and deserved to win the game without a question of a doubt. But I can't see West Ham playing that badly against us.
"I think they will give it their lot on Saturday - I think they have to. I think the time has come for them to stand up and it will be a difficult game for us."
Asked if he thought West ham had a good enough squad to beat the drop, Pulis said: "Yes, just a little bit! They have got some top, top quality players."