Allardyce's men host Tony Pulis's side at Upton Park and the Hammers boss reckons it is the beginning of a difficult run of games for his team.
"The tough phase has already begun for us and, after Stoke on Monday we go into a run against the other big boys," said Allardyce.
"We've coped very well so far and I hope we continue to cope on Monday night because that's a big game for us. We want to continue our home form and home results and get a very important three points against a well-experienced and well-organised team with a really good manager."
A win for West Ham tomorrow would take them up to fifth in the Premier League.