Murphy is expected to undergo season-ending Tommy John surgery later this week, Jonathan Mayo of MLB.com reports.
Murphy struck out 11 over 6.1 scoreless innings for High-A Rome on Tuesday, allowing three hits and zero walks.
Murphy has posted a 0.75 ERA, 0.83 WHIP and 16:4 K:BB through two starts and 12 innings for High-A Rome to begin the season.
Murphy has a 2.87 ERA, 0.83 WHIP and 26:4 K:BB over his last three starts (15.2 innings) for Single-A Augusta.
Murphy has yet to give up a run with an 11:3 K:BB through two starts and 7.1 innings for Single-A Augusta.