Rodriguez (lat) threw a bullpen session at Camden Yards on Wednesday, Baltimore Banner Sports reports.
The right-hander got back on the mound for the first time since he was diagnosed with a strained lat nearly a month ago. Rodriguez will need to face hitters at least once before being cleared for a rehab start, but that should come soon. The 24-year-old is probably still at least a couple weeks away from a return from the 15-day injured list, however.