Alvarez (shoulder) threw 25 pitches in a live batting practice session Wednesday, Jane Lee of MLB.com reports.
Alvarez had been limited to just throwing bullpen sessions of late, but he moved up to facing live batters Wednesday for the first time since undergoing shoulder surgery. He told reporters following Wednesday's session that his shoulder felt good and that May is still in the realm of possibility for his return date. Alvarez's next batting practice session is scheduled for Sunday.