Odorizzi, 25, was 9-9 with a 3.35 ERA in 28 starts for the Rays last season, his second full year in the Majors. He was the Brewers' first-round Draft pick in 2008, went to Kansas City in the '10 Zack Greinke trade, and he was then sent to Tampa Bay in the James Shields /Wade Davis /Wil Myers deal.
Odorizzi is under club control until 2020.
Cash Kruth is a reporter for MLB.com. Follow him on Twitter at @cashkruth. This story was not subject to the approval of Major League Baseball or its clubs.