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.
TV AND LIVE ONLINE COVERAGE
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Andy Carroll and Sam Byram are the latest additions to West Ham's absentee list, with striker Carroll out with a recurrence of a groin injury and right-back Byram suspended following his red card at Sunderland last weekend.
Captain Mark Noble completes a two-match ban while Michail Antonio (hamstring), Angelo Ogbonna (knee) and Pedro Obiang (ankle) are injured, but Winston Reid (groin) and Diafra Sakho (back) could return.
Provisional squad: Adrian, Randolph, Byram, Fonte, Reid, Collins, Cresswell, Masuaku, Kouyate, Fernandes, Nordtveit, Snodgrass, Feghouli, Lanzini, Ayew, Fletcher, Calleri, Sakho.
Everton's on-loan striker Enner Valencia is ineligible to face his parent club West Ham.
Midfielder James McCarthy may not feature again this season as he continues to struggle with a hamstring problem.
Muhamed Besic will play his second match for the Under-23s on Friday as he steps up his comeback from a serious knee injury, while Ramiro Funes Mori and Yannick Bolasie (both knee), Seamus Coleman (broken leg) and Aaron Lennon all remain absent.
Provisional squad: Robles, Holgate, Williams, Jagielka, Baines, Schneiderlin, Gueye, Barkley, Davies, Mirallas, Lukaku, Stekelenburg, Pennington, Kenny, Barry, Williams, Calvert-Lewin, Lookman, Kone.
West Ham starting XI: Randolph; Kouyate, Fonte, Collins, Masuaku; Fernandes, Nordtveit; Snodgrass, Ayew; Lanzini; Sakho
Everton starting XI: Robles; Holgate, Jagielka, Williams, Baines; Gueye, Schneiderlin, Davies; Barkley, Lukaku, Mirallas
BETTING ODDS (via 888 Sport)
- West Ham to win: 23/10
- Everton to win: 23/20
- Draw: 13/5
Click here to place a bet. Odds correct as of April 21 at 10pm.