Godley signed a minor-league contract with the Reds on Sunday, Charlie Goldsmith of The Cincinnati Enquirer reports.
Godley made two major-league appearances for the Brewers last year but pitched mainly at the Triple-A level. Across 21 appearances (18 starts) in the minors during the 2021 campaign, he logged a 4.39 ERA and 1.44 WHIP in 98.1 innings. It wouldn't be surprising to see the right-hander invited to big-league spring training if it occurs in 2022.