Alvarez (shoulder) will throw 2-to-3 innings at High-A Stockton on Monday, Jane Lee of MLB.com reports.

Monday will mark perhaps the biggest step in the right direction that Alvarez has had during his lengthy recovery from shoulder surgery. He'll toss 2-to-3 frames in a minor league game, which officially starts the clock towards him being activated off the DL within 30 days. Alvarez will gradually have his pitch count increase in each of his rehab outings, but it's unclear if he'll immediately be able to rejoin the A's rotation upon his activation in late-June or early-July.