Gillaspie pitched in three games with San Diego in April before landing on the injured list April 27 due to an oblique strain. The right-hander has thrown more than one frame in each of his three rehab outings so far, and he appears to be prepping for a multi-inning middle-relief role upon his potential return to the Padres. Gillaspie could be ready for activation at some point in July.

Gillaspie appeared to suffer the injury during the seventh inning of Saturday's loss to the Rays, and he will undergo further testing to determine the severity of the injury. In corresponding moves, David Morgan's contract was selected from Double-A San Antonio and Bryan Hoeing (shoulder) was transferred to the 60-day IL.