Striker Cole is set to be out until the end of January with a knee ligament injury sustained in the Hammers' 5-3 win against Burnley last weekend, while centre-back Upson has not fully recovered from a hamstring strain.
Switzerland midfielder Valon Behrami is missing with a knee injury while a muscle strain sidelines Luis Jimenez.
Alessandro Diamanti is back from a hip complaint and is in contention but Mark Noble is a doubt with a virus.
West Ham (from): Green, Kurucz, Faubert, Da Costa, Gabbidon, Daprela, Tomkins, Ilunga, Spector, Kovac, Noble, Parker, Collison, Payne, Diamanti, Dyer, Hines, Stanislas, Franco.
