• D-backs Top 30 Prospects
Bradley, who was called up Sunday, started Monday and lasted just 4 1/3 innings.
"It's obviously out of necessity," manager Chip Hale said of the recent spate of roster moves. "We're trying to not overuse our bullpen, but obviously we are overusing our bullpen."
Bracho made the team out of Spring Training, but was the first pitcher sent down when the team needed fresh arms during the season's first week.
In four games with Reno, Bracho had two saves and a 2.25 ERA.
"He's been throwing the ball really well down in Reno and we need the help," Hale said.
Steve Gilbert is a reporter for MLB.com. Follow him on Twitter @SteveGilbertMLB. This story was not subject to the approval of Major League Baseball or its clubs.