The Ivory Coast international has missed the Eagles' last five games with a hamstring injury, the most recent of those being the 0-0 draw with Manchester United in midweek.
Zaha may be back involved against Tottenham in what would be a major boost for Hodgson, though it is more likely that the winger will make his comeback from the substitutes' bench.
Despite going two games without scoring, Palace are expected to stick with the same front four used against United, but there will be an enforced change in central midfield.
Crystal Palace possible starting lineup: Guaita; Ward, Kouyate, Cahill, Van Aanholt; Townsend, Milivojevic, Riedewald, Eze; Benteke, Ayew
Watch the Sports Mole Football Shorts prediction for this game below: