Fleming will be available out of the bullpen during Friday and Saturday's games against the White Sox, Neil Solondz of the Rays Radio Network reports.
It's not clear if the southpaw will move to the bullpen permanently, but that decision will likely depend on a variety of factors, including how Chris Archer (forearm) performs in his return from the injured list Sunday. In any scenario, Fleming should be an option to provide length out of the bullpen in the coming days.