The Royals placed Kolek (personal) on the Family Medical Emergency List on Saturday.
Kolek's next start is tentatively slated for next week on the road against the Mets, though it's unclear whether he'll be with the team at that time. He took the loss in his last start Thursday against the Rays, when he allowed three runs on four hits and one walk across two innings without recording a strikeout. The Royals recalled right-hander Jose Cuas from Triple-A Omaha in a corresponding move.