Drafted out of UNC in the 13th round in 2008, Wooten was a Pacific Coast League All-Star earlier this month and tallied 20 saves with the Sounds in 2013. He has an ERA of 2.94 in 40 appearances (52.0 innings) and has struck out 45 batters compared to just 12 walks.
"He's got a nice cutter, locates the ball well," Brewers manager Ron Roenicke told the Milwaukee Journal Sentinel.
"He doesn't walk a lot of people. He throws strikes. You can trust him to come into a game and put the ball over the plate. He's done a really nice job this year. His numbers have been really good, he's saved a lot of games and he doesn't mind being in that pressure situation.
"We need a little help in our bullpen. Where we were today and going into Colorado, an offensive park, hopefully that will help. We've got the double header in Chicago and we're still trying to figure out what to do there, who's going to start that game but that has a lot to do with what happens to our bullpen in Colorado."
Wooten played four seasons at Carolina before being selected by the Brewers, and his final season at UNC was his best. The Pikeville, N.C., product went 6-2 with a 1.87 ERA and five saves in 44 games during his senior season to help lead the Tar Heels to the 2008 College World Series.