Rodriguez (elbow) has no timetable to progress to facing live hitters, MLB.com reports.
Rodriguez is tossing bullpen sessions, but the Rays seem to be taking a cautious approach with his throwing program. The right-hander underwent surgery to repair a right elbow flexor strain back on Aug. 8 of last year, and the hope remains that Rodriguez will still be able to return to action at some point in June or July.