Baker was acquired by the Toronto Blue Jays on August 14, 2018, as the player to be named later to complete a trade for Seung-hwan Oh.[7] The Blue Jays assigned him to the Dunedin Blue Jays of the High–A Florida State League where he had a 2.84 ERA over six appearances.[8] Baker began the 2019 season with the Double-ANew Hampshire Fisher Cats before being promoted to the Triple-ABuffalo Bisons, where he had a 3.68 ERA and 31 strikeouts in 22 innings pitched.[9] Baker did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic, but was assigned to the Blue Jays' Alternate Training Site.[10] He returned to the Buffalo Bisons to start the 2021 minor league season.[11]
On September 1, 2021, Baker was selected to the 40-man roster and promoted to the major leagues for the first time.[12] On September 5, Baker made his MLB debut, tossing a scoreless inning against the Oakland Athletics, striking out one.[13]
On April 23, 2022, Baker earned his first career win in a 5–4 victory over the Los Angeles Angels.[15] On September 6, after surrendering two hits and a run to the Toronto Blue Jays, he instigated a benches clearing scrum by staring at the Blue Jays dugout while making a hand puppet-like gesture with his right hand. [1] On the final day of the season, Baker pitched a scoreless ninth inning in the first game of a doubleheader against the Blue Jays to earn his first career save.[16] Baker compiled a 4–3 record with a 3.49 ERA in 66 appearances for the Orioles during the 2022 season.
Baker made 46 appearances out of the bullpen for Baltimore in 2023, registering a 4–3 record and 3.60 ERA with 51 strikeouts across 45 innings pitched.[17]
Baker was optioned to the Triple–A Norfolk Tides to begin the 2024 season.[18]
Personal life
Baker is the son of Cathy and Scott Baker. He has an older sister named Chelsea.[19] Baker's grandfather, Ed Baker, played football at Auburn University. His cousin, Matt Krembel, played golf at Army.[20]