Dodgers manager Dave Roberts said Thursday that May (elbow) will require at least two more rehab starts in the minors before being reinstated from the 60-day injured list, Fabian Ardaya of The Athletic reports.

May made his third rehab start at Triple-A Oklahoma City on Wednesday and tossed 62 pitches over four innings. The Dodgers will take a cautious approach to easing him back from the IL after May underwent Tommy John surgery last May. He's expected to work four-plus innings during his next rehab start before pitching five innings in the subsequent outing.