Rodriguez (shoulder) is scheduled to throw up to five innings during a rehab start in the rookie-level Arizona Complex League on Tuesday, Rhett Bollinger of MLB.com reports.
Rodriguez continues to bump up his workload, as his previous throwing sessions consisted of three and then four simulated innings. The right-hander has yet to make his Angels debut because he landed on the IL with right shoulder inflammation in late March, but the fact that he's now beginning a proper rehab assignment could put him on track for a return from the shelf within the next couple of weeks.