Wilshere in race against time to be fit for Everton
The 26-year-old midfielder has missed the last two days of training with an ankle injury, and may be forced to miss the crucial fixture.
West Ham will be looking to pick up their first points of the season, after losing every one of their opening four league games.
After their game on Sunday, three of their next four games are aginst Chelsea, Manchester United, and Tottenham, making it even more important that they get something from the match.
Wilshere's time at Arsenal was blighted by injury. He has missed over 150 games in his career through injury.