Rodriguez, 32, is 41-36 with a 2.70 earned run average and 304 saves in 730 relief appearances with the Los Angeles Angels of Anaheim (2002-08), the New York Mets (2009-11), Milwaukee (2011-13) and Baltimore (2013).
His 304 career saves are tied for 21st on the all-time Major League list (with Jeff Montgomery). His 62 saves with the Angels in 2008 are a Major League single-season record.
Rodriguez is 7-8 with a 3.15 ERA and 13 saves in 134 games as a Brewer. He was originally acquired by Milwaukee from the Mets on July 12, 2011, along with cash, in exchange for two players to be named (pitchers Daniel Herrera and Adrian Rosario). He was traded by Milwaukee to Baltimore last season on July 23 in exchange for third baseman Nicky Delmonico.
To make room for Rodriguez on the 40-man roster, the Brewers designated right-handed pitcher Donovan Hand for assignment.