The Rays transferred Kim (shoulder) to the 60-day injured list Friday, Marc Topkin of the Tampa Bay Times reports.
The move cleared a 40-man roster spot for Connor Seabold. Kim's timeline to return hasn't changed, as he had always been expected back from shoulder surgery in late May at the earliest. Kim began increasing the intensity of his baseball activities in late April, but it's not clear when he will be ready for a rehab assignment.