The Toffees are still in the hunt for a top four finish, sitting seven points off fourth placed Manchester City - though having played a game more.
They know a win against the Hammers - sitting 13th in Slaven Bilic's second season - will increase the pressure on the other top six sides, and Ronald Koeman's men will surely fancy their chances at the London Stadium.
West Ham have won only one of their last 17 Premier League games against the Toffees (D5 L11), and Everton, in Romelu Lukaku, have a goalscorer who loves to net against the Hammers; he's scored in each of his nine previous appearances against them.