The Hammers beat Swansea last weekend to pull eight points clear of the bottom three and will move to within a sniff of the 40-point mark with a second straight win.
Their hosts Sunderland are 10 points from safety with seven games to play, but David Moyes says his team will not concede defeat in their bid to beat the drop until it is mathematically certain.
"We've got a home game next, let's see if we can get some momentum, try to get a win in that and we'll try to do that," said Moyes.
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Sunderland host West Ham at the Stadium of Light, with kick-off scheduled for 3pm on Saturday, April 15.
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Mark Noble and Michail Antonio will be missing for West Ham, with the captain suspended and winger out for the rest of the season with a hamstring injury.
Antonio joins Winston Reid (groin), Angelo Ogbonna (knee) and Pedro Obiang (ankle) on the casualty list.
But Andy Carroll, an unused sub against Swansea last weekend, is now fully fit after a groin problem and Sam Byram (ankle) and Aaron Cresswell (muscle) have shaken off knocks.
Provisional squad: Adrian, Randolph, Byram, Fonte, Collins, Cresswell, Masuaku, Kouyate, Fernandes, Nordtveit, Snodgrass, Feghouli, Lanzini, Ayew, Carroll, Fletcher, Calleri, Sakho.
Full-back Bryan Oviedo is out of Sunderland squad as he faces up to five weeks on the sidelines after damaging his hamstring in the 3-0 loss to Manchester United last weekend.
Sebastian Larsson starts a three-match ban after an unsuccessful appeal against his red card in the United game, but central defender John O'Shea returns from compassionate leave following the death of his father and loan signing Adnan Januzaj, who was ineligible against his parent club, is available once again.
Provisional squad: Pickford, Mannone, Jones, Manquillo, Denayer, Love, O'Shea, Kone, Djilobodji, Lescott, Cattermole, Ndong, Gibson, Borini, Januzaj, Pienaar, Khazri, Honeyman, Defoe, Anichebe, Maja.
Sunderland starting XI: Pickford, Jones, Kone, Denayer, Manquillo, Cattermole, N'Dong, Rodwell, Rodwell, Borini, Defoe, Anichebe
West Ham starting XI: Randolph, Byram, Fonte, Collins, Masuaku, Feghouli, Kouyate, Lanzini, Snodgrass, Ayew, Carroll
BETTING ODDS (via 888 Sport)
- Sunderland to win: 11/5
- West Ham to win: 32/25
- Draw: 49/20
Click here to place a bet. Odds correct as of April 14 at 4pm.