Peavy (back) will make at least two more rehab starts, John Shea of the San Francisco Chronicle reports. Peavy struggled in his second rehab outing, allowing six runs over 4.2 innings for Triple-A Sacramento on Wednesday. He was previously expected to make just one or two more rehab appearances after Wednesday's, but manager Bruce Bochy is now saying that the right-hander will have at least two more outings in the minors. Peavy is thus unlikely to return until the second or third week of June.