Gillespie is a young striker at Liverpool who is being released by them and has been training at West Ham.
Steve Lomas and Don Hutchison also play, continuing their rehabilitation and trying to stake a claim for inclusion in the first team squad on Saturday at Reading.
Hayden has had a back problem but could also be available at the weekend if there is no adverse reaction to his comeback.
TEAM: Srnicek, McLenehan, Cohen, Mullins, Lumsden, Blewitt, McAnuff, Lomas, Hutchison, Gillespie, Carole.
Subs: Wright, Forde, Tattam, Stokes, Bunce.