The Rockies placed Criswell on the 15-day injured list Saturday with a right shoulder strain.
Criswell gave up two earned runs in two innings Friday in what was his first appearance since returning to the majors last Saturday, but the Rockies will now be without his services until at least Aug. 2. His roster spot will be filled by Tomoyuki Sugano (back), who was reinstated from the injured list to start Saturday's game against the Reds.