Claudio was traded to the Milwaukee Brewers on December 13, 2018, in exchange for a competitive balance Round A draft pick. In 2019, he posted a 2–2 record with a 4.06 ERA over 62 innings. He led all major league pitchers in games played (83). Claudio was non-tendered and became a free agent on December 2, 2019. He re-signed with Milwaukee on a one-year contract on December 9, 2019. Claudio made 20 appearances for the Brewers in 2020, recording a 4.26 ERA with 15 strikeouts and 6 walks in 19.0 innings of work. On December 2, 2020, Claudio was non-tendered by the Brewers and became a free agent.
