The closer and the Brewers agreed to a $13-million, two-year contract, a deal subject to the successful completion of a physical.
"One of the things we focused on was the depth in our bullpen, and bringing back a closer who's very durable put everybody back into a natural spot," Brewers owner Mark Attanasio said. "It actually turns a bullpen which may have been looked at as thin into a bullpen that has some depth when you go through it."
The 33-year-old Rodriguez revived his career last season, when he converted 44 of 49 save chances. Rodriguez went 5-5 with a 3.04 earned-run average, with 73 strikeouts and 14 home runs given up in 68 innings.
Rodriguez is in his native Venezuela and won't join the Brewers until he obtains a work visa. He'll also need to pass a physical examination and the team will have to clear space on the 40-man roster before the deal is finalized.
Rodriguez pitched for the Angels from 2002 to '08.
Adam Wainwright has been diagnosed with an abdominal strain but the St. Louis ace could be available to pitch the Cardinals' opener at Wrigley Field on April 5.
Wainwright strained the muscle on Monday while putting a 45-pound weight back on a rack. General manager
"Based on all the different studies and what the doctor saw he feels this was the best news we could have gotten," Mozeliak said.
Wainwright said the pain originally felt like a twinge when it first occurred and the injury bothered him when he ran or lunged but did not affect his pitching. He walked off a practice field Tuesday following the team's stretch, returned to St. Louis on Wednesday and was examined by Dr. Michael Brunt on Thursday.
"In the end I feel good about what we know, and I know Adam is relieved," Mozeliak said.