May is expected to make at least one more start after Wednesday's game against the Cardinals due to Ross Stripling (biceps) suffering a setback, Bill Plunkett of the Orange County Register reports.
May pitched well in enough in his debut Friday against the Padres, allowing three earned runs in 5.2 innings. The Dodgers will need a starter during what would have been Stripling's turn next week. May has a good shot to be that guy, though it could partly depend on how he pitches Wednesday against the Cardinals.