Downs finished the season with 17 appearances for the American League champion Royals, posting a 3.14 ERA after having a 6.08 ERA in 38 games with the White Sox. He topped the AL in games pitched with 81 in 2007, and he has a career 3.56 ERA.
Cleveland has left-handers Kyle Crockett, Nick Hagadone and Marc Rzepczynski projected out of its bullpen on the active roster, so Downs provides veteran depth.
Scott Merkin is a reporter for MLB.com. Read his blog, Merk's Works, and follow him on Twitter @scottmerkin. This story was not subject to the approval of Major League Baseball or its clubs.