Baker was designated for assignment by Milwaukee on Thursday.
Baker was recently claimed off waivers by the Brewers in November after being DFA'd by Cleveland, but now finds himself in a similar situation following the club's move to sign Jhoulys Chacin off the free-agent market. During this past season, Baker threw 12.2 innings for Double-A Akron, accumulating a 2.84 ERA in his first year back from undergoing Tommy John surgery in 2015.