Minter was recalled from Triple-A Gwinnett on Tuesday.
Minter has struggled to a 7.24 ERA and 1.98 WHIP with a 33:23 K:BB over 27.1 innings this season in the majors, but after rosters expanded Sunday, he'll get another shot with Atlanta. He began the year in the closer's role, but he's unlikely to see many chances over Mark Melancon over the final weeks of the regular season.