The Indians recalled Crockett from Triple-A Columbus on Friday.
Over 48 relief innings for the Clippers, Crockett has impressed, with a 3.38 ERA, 9.2 K/9 and 2.1 BB/9. He won't be counted on for many high-leverage spots but has the strikeout ability to earn the occasional hold, especially if Cleveland wants to rest its major pieces with rosters expanded.