Everton's own top four aspirations appeared to come to a crashing end after their 2-1 defeat to Aston Villa last weekend, meanwhile, but they still retain aims of competing in Europe next season.
Here, Sports Mole rounds up all of the latest team news for both sides.
WEST HAM UNITED vs. EVERTON
WEST HAM UNITED
Out: None
Doubtful: Declan Rice (knee), Arthur Masuaku (knee), Mark Noble (calf), Angelo Ogbonna (knock)
Sports Mole's predicted XI: Fabianski; Coufal, Dawson, Diop, Cresswell; Soucek, Lanzini; Bowen, Lingard, Fornals; Antonio
EVERTON
Out: James Rodriguez (calf), Jean-Philippe Gbamin (knee), Tyler Onyango (ankle)
Doubtful: None
Sports Mole's predicted XI: Pickford; Coleman, Keane, Godfrey, Digne; Doucoure, Allan, Gomes; Sigurdsson, Richarlison; Calvert-Lewin
Video prediction
Watch the Sports Mole Football Shorts prediction for this game below: