Naughton was recalled by the Cardinals on Friday.
Naughton has already spent four separate stints on the major-league roster. His numbers haven't necessarily justified a permanent stay, as he owns a 5.40 ERA in 13.1 innings of work, though his 1.8 percent walk rate at least demonstrates strong control. He'll replace Drew VerHagen in the bullpen, who hit the injured list with a shoulder issue Friday.