A last-gasp Fabio Borini strike for Sunderland denied the Hammers back-to-back wins for the first time since January and Slaven Bilic will be desperate to avoid another slump before the end of the campaign.
Everton, though, are trying to do the same and with far more at stake as they target an unlikely qualification spot for Champions League football, spearheaded by the league's top goalscorer Romelu Lukaku.
The Toffees currently seven points off fourth-placed Manchester City, and have played a game more, but any more points on the board will all but guarantee at least the Europa League.
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West Ham host Everton at the London Stadium with kick-off scheduled for 3pm on Saturday, April 22.
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Sam Byram's red card will likely see Chiekhou Kouyate move back to right-back after impressing while deputising in the role in recent weeks.
That will leave a hole in midfield, with Mark Noble serving the second of a two-game ban for picking up 10 yellow cards, so Slaven Bilic will have to shuffle his deck.
Winston Reid could return but only via the bench after missing the last five games.
Everton have no fresh injury concerns and Ronald Koeman will be keen to avoid too many changes to keep his team's momentum.
Idrissa Gueye was taken off at half-time in the 3-1 win over Burnley for tactical reasons, but is expected to feature from the off on Saturday.
West Ham starting XI: Randolph; Kouyate, Fonte, Collins, Masuaku; Fernandes, Nordtveit; Snodgrass, Ayew; Lanzini; Carroll
Everton starting XI: Robles; Holgate, Jagielka, Williams, Baines; Gueye, Schneiderlin, Davies; Barkley, Lukaku, Mirallas
BETTING ODDS (via 888 Sport)
- West Ham to win: 11/5
- Everton to win: 6/5
- Draw: 13/5
Click here to place a bet. Odds correct as of April 19 at 8pm.