The Rays recalled Bigge from Triple-A Durham on Saturday.
Bigge will come up from the minors alongside Cole Sulser in order to replace Colin Poche (shoulder) and Erasmo Ramirez in the bullpen. The 26-year-old Bigge has given up just one run in 7.1 MLB innings this season and owns a 2.25 ERA in Triple-A, though he figures to work in middle relief while with the Rays.