The Rangers placed Sborz on the 15-day injured list Sunday due to right shoulder fatigue.
Sborz's placement on IL is retroactive to Thursday, so he'll be eligible for activation as soon as Aug. 23. The right-hander has been a key setup man for the Rangers when available this season but had struggled of late, giving up a run in three of his last five appearances. Texas called up right-hander Matt Festa from Triple-A Round Rock to take Sborz's spot in the bullpen.