The winger is struggling with a thigh problem that he picked up during Saturday's 2-0 defeat to Manchester United.
"We only have a problem with Matt Jarvis on the injury front," Allardyce told the club's official website.
"He came off with a tight thigh at the end of the game on Saturday night. We'll wait for him until tomorrow and then make a decision then. At the moment it's looking doubtful."
West Ham are currently in 14th place in the Premier League table.