The striker continues to work his way back from a hip problem. He has resumed training and is "getting closer", according to Hammers boss David Moyes.
Forward Pulisic hobbled out of Chelsea's 1-0 FA Cup win at Leicester on Sunday with a calf complaint, having fired two goals in two games since the sport's resumption.
Defender Christensen missed the east Midlands trip with a hip issue, but boss Frank Lampard will give both players the chance to come through late fitness tests.
West Ham provisional squad: Fabianski, Fredericks, Diop, Rice, Cresswell, Noble, Soucek, Lanzini, Bowen, Fornals, Antonio, Randolph, Ngakia, Johnson, Balbuena, Wilshere, Yarmolenko, Anderson, Ajeti, Silva.
Chelsea provisional squad: Arrizabalaga, Azpilicueta, Zouma, Rudiger, Alonso, Kante, Jorginho, Kovacic, Pulisic, Willian, Abraham, Caballero, Emerson, Christensen, James, Gilmour, Loftus-Cheek, Barkley, Pedro, Giroud.