Kansas City manager Matt Quatraro confirmed the club's plans after Monday night's 12-4 win over the Cubs at Wrigley Field.
Hill appeared in four games last season for Boston. A start on Tuesday will make him the oldest active player in baseball.
Hill made 11 postseason starts during his four years with the Los Angeles Dodgers, including two World Series starts in 2017 and another in 2018. He went 11-5 during the latter regular season.
Hill is 90-74 with a 4.01 ERA in 368 career MLB games. He has pitched 1,409 innings and has struck out 1,428.
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