The defender had lost his place in Alex McLeish's plans after the signings of Marvin Andrews and Jean Alain Boumsong, but preferred to stay and fight for a starting slot.
"We heard he might be interested in first team football," said Dave MacKinnon, "but he chose not to come."
Killie are likely to offer a deal to Simon Ford, a free agent after being releasd by Grimsby Town, who can offer cover in a variety of defensive positions.