Lingard, who was this week named in the England squad, was unable to face parent club Manchester United last weekend.
Arsenal's Bukayo Saka faces a late fitness test ahead of the short trip across the capital.
The winger has a slight hamstring problem which could also force him to withdraw from the England squad.
Willian (calf) also missed Thursday's Europa League loss to Olympiacos and could again be sidelined.
West Ham provisional squad: Fabianski, Coufal, Diop, Dawson, Cresswell, Rice, Soucek, Bowen, Benrahma, Antonio, Lingard, Martin, Fredericks, Balbuena, Johnson, Alves, Noble, Lanzini, Odubeko, Trott.
Arsenal provisional squad: Leno, Ryan, Bellerin, Chambers, Gabriel, Luiz, Mari, Cedric, Ceballos, Elneny, Partey, Xhaka, Saka, Odegaard, Smith Rowe, Willian, Aubameyang, Lacazette, Nketiah, Martinelli, Balogun.