Johnson (shoulder) was outrighted to Triple-A Durham on Friday, radio broadcaster Steve Carney reports.
Johnson (shoulder) was transferred to the 60-day injured list Monday, Neil Solondz of the Rays Radio Network reports.
Manager Kevin Cash said Tuesday that Johnson's sprained right shoulder is "pretty severe" and that the right hander will likely miss "substantial time," Marc Topkin of the Tampa Bay Times reports.
The Rays placed Johnson on the 10-day injured list Tuesday with a sprained right shoulder.
Johnson was removed from Sunday's game against the Orioles with right shoulder discomfort, Marc Topkin of the Tampa Bay Times reports.
The Rays recalled Johnson from Triple-A Durham on Sunday, Neil Solondz of the Rays Radio Network reports.
Johnson was optioned to Triple-A Columbus on Monday.
Johnson's contract was selected by Cleveland on Wednesday.
Cleveland reassigned Johnson to their minor-league camp Tuesday.
Johnson signed a minor-league deal with Cleveland on Tuesday that includes an invitation to big-league camp.