The White Sox placed Murphy on the 15-day injured list Friday with a left flexor strain.
The left-hander worked 1.1 innings of relief in Thursday's extra-innings loss to the Red Sox and allowed one unearned run without allowing a hit. He owns a 4.20 ERA and 29:15 K:BB across 30 innings this season. Chicago recalled David Sandlin from Triple-A Charlotte to take Murphy's place on the 26-man roster.