Hay has recovered from a hamstring injury, while Rhian Dodds (ankle) and Eric Skora (knee) have also returned to training and may be in contention.
Striker Ryan Jarvis could be on the bench after a hamstring problem, but winger Willie Gibson is doubtful with a stomach bug and David Fernandez, Allan Johnston and Grant Murray (all knee) all remain unavailable.
Killie (from): Combe, Fowler, Hay, Wright, Lilley, Ford, Flannigan, Gibson, Bryson, Hamill, Koudou, Nish, Wales, Invincibile, O'Leary, Dodds, Skora, Locke, Jarvis, Taouil, Harpur.