Luzardo (shoulder) completed a 30-pitch simulated game Saturday, Martin Gallegos of MLB.com reports.
Luzardo has been sidelined since mid-March with a left shoulder strain, but his progression to simulated games indicates he's nearing the end of his recovery. The Athletics have yet to announce the next step for the 21-year-old's rehab, but he could make his return to minor-league games within the next few weeks.