The defender - who was forced off injured against Leicester earlier this month - was touch and go as to whether he would be able to play against the Blues, but has been ruled out.
West Ham can move above Chelsea and back into the top four with a win at the London Stadium, but again Moyes is missing some key personnel.
Arthur Masuaku is also out while Declan Rice and Michail Antonio are still injured. Craig Dawson is suspended following his sending off in defeat at Newcastle.
"Jesse had a bit of cramp at Newcastle, which at the time we didn't see as being too big a problem and he's fine.
West Ham XI: Fabianski, Diop, Balbuena, Ogbonna, Coufal, Noble, Soucek, Fredericks, Fornals, Lingard, Bowen
Subs: Yarmolenko, Benrahma, Lanzini, Alves, Johnson, Trott, Randolph, Odubeko, Coventry
Saturday 5.30pm, Sky Sports
Venue: London Stadium
Referee: Chris Kavanagh
West Ham squad from: Fabianski, Martin, Randolph, Trott, Ogbonna, Diop, Alves, Balbuena, Coufal, Fredericks, Johnson, Noble, Coventry, Soucek, Fornals, Lanzini, Lingard, Yarmolenko, Benrahma, Bowen, Odubeko
Injury list: Antonio (hamstring), Rice (knee), Cresswell (hamstring), Masuaku (knee)
Unavailable: Dawson (suspended)