Rodriguez will get rest and rehabilitation for his shoulder after a recent increase in pain. The Angels don't know when he'll be ready to pitch again.
Rodriguez, who pitched 43 games for the Angels last year, began the season at Triple-A. He had a 4.61 ERA for the Angels in 10 games.
Jepsen was the Angels' primary right-handed setup man two seasons ago, but he was demoted on April 10 along with fellow reliever Michael Kohn after struggling in his first few outings. He had a 4.76 ERA in 12 games at Salt Lake.
Mark Saxon covers the Angels for ESPNLosAngeles.com. Information from The Associated Press was used in this report.
Mark Saxon is a staff writer for ESPNLosAngeles.com. He spent six years at the Orange County Register, and began his career at the Oakland Tribune, where he started an 11-year journey covering Major League Baseball. He has also covered colleges, including USC football and UCLA basketball.