Morris was recalled from Triple-A Salt Lake on Monday.
Morris will rejoin the big club to offer a fresh arm out of the bullpen after Sunday's starter, Garrett Richards, lasted just 2.1 innings. He owns a 4.26 ERA across 6.1 major-league innings this season and a 4.96 ERA across 16.1 Triple-A frames, so look for the 25-year-old to fill a low-leverage relief role during his time with the Angels.