Martinez will start playing catch again Thursday, Cardinals manager Mike Shildt shared before Wednesday's Grapefruit League game against the Marlins at Roger Dean Stadium.
Martinez, who will start the season on the injured list and will not appear in a spring training game, has been on a strength-building, non-throwing program since the second day of camp due to a recurrence of the shoulder issues that limited him to 18 starts and 100.1 innings pitched as a starter in 2018.
Martinez's program has not reached the point where it would change based on his future role, whether that turns out to be starter or reliever, a role he thrived in late last season after his return from that round of shoulder issues.