Murphy will likely take on a multi-inning role beginning next Wednesday against the Marlins, Chris Cotillo of MassLive.com reports.
Boston's starting rotation is in flux following an injury to Tanner Houck (face), who joins Chris Sale (shoulder) on the injured list. The Red Sox have two days off in the next 11 and could roll with a four-man rotation through that stretch, but the team wants to keep its remaining starters on normal rest without naming a direct replacement for Houck. That means every fifth game could be a bullpen day featuring Murphy, who has been dominant since transitioning from starter to reliever with a 0.00 ERA and 8:1 K:BB in six innings over two big-league appearances. If the southpaw handles a bulk relief role, it's unclear who would open in front of him, but that decision likely hinges on bullpen usage during the games prior to Murphy's unofficial spot in the rotation.