Norris was traded from the Tigers to the Brewers in exchange for Reese Olson on Friday, Jeff Passan of ESPN.com reports.
The 28-year-old lefty has struggled to a 5.89 ERA this season, though his underlying numbers suggest he should be more useful than that down the stretch. He's combined an above-average 25.5 percent strikeout rate and 48.5 percent groundball rate with a slightly sub-par 9.6 percent walk rate, leading to a 3.78 FIP and 3.54 xFIP. He picked up his first career save Tuesday, though he's unlikely to get many more in Milwaukee with Josh Hader as his new teammate.