Criswell (shoulder) is expected to begin throwing simulated games next week, Rhett Bollinger of MLB.com reports.
Criswell hasn't pitched at all this season after being diagnosed with shoulder inflammation in late March. He recently faced live hitters for the first time and is now expected to progress to tossing simulated games. Criswell doesn't necessarily have a major-league roster spot waiting for him, but he could feasibly begin pitching in minor-league contests by the end of June.