The A's are targeting a late-May or early-June return date for Alvarez (shoulder), John Hickey of the Bay Area News Group reports.
Alvarez is slated to throw one more bullpen session before setting out on a rehab assignment, according to Jane Lee of MLB.com. Given the nature of the injury and the amount of down time following Alvarez's shoulder surgery, the A's will be patient with him and give him multiple starts at the minor league level before plugging him into the big league rotation.