Diamondbacks Torey Lovullo said Monday that Castro (shoulder) will begin his throwing program this week, Theo Mackie of The Arizona Republic reports.
The Diamondbacks placed Castro on the 15-day injured list Tuesday, retroactive to April 21, with right shoulder inflammation.
Castro allowed one run on two hits over a third of an inning in Friday's 6-5 extra-inning loss to Atlanta.
Castro allowed one run on two hits while striking out two over 1.1 innings in Thursday's spring game against Kansas City.
The Diamondbacks reinstated Castro (personal) from the paternity list Monday.
The Diamondbacks placed Castro on the paternity list Friday.
Castro (5-6) took the loss Friday against San Diego. He allowed four runs on three hits over one-third of an inning.
Castro (5-4) was tagged with Thursday's loss to Atlanta. He allowed three runs on two hits and one walk over two-thirds of an inning.
Castro picked up the save in Monday's 9-8 win over the Phillies. He allowed one run on two hits and no walks while striking out one over one inning.
Castro was not used for a save opportunity in Wednesday's 6-5 extra-inning loss to Philadelphia.