The White Sox optioned Murphy to Triple-A Charlotte on Sunday.
Murphy has made just four appearances since rejoining the big-league club on Sept. 9. Over 33 games with the White Sox, Murphy is sporting a 3-0 record, 4.81 ERA, 1.43 WHIP and 35:16 K:BB over 33.2 innings. With Huascar Brazoban (lat) returning from the 15-day IL, Murphy was the odd man out to leave the active roster.