Luzardo (forearm) is scheduled to throw a two-inning live batting practice session Tuesday, Christina De Nicola of MLB.com reports.
If the session goes well, Luzardo will likely face hitters again later in the week before the Marlins set up a minor-league rehab assignment for the 24-year-old lefty. Luzardo has been on the injured list since May 15 with a left forearm strain.