Jepsen posted a 1.61 ERA in 29 appearances for the Twins last season after being acquired in a Trade Deadline deal from the Rays, but he struggled mightily this season. He had a 6.16 ERA in 33 appearances for Minnesota before it designated him for assignment on July 3.
Jepsen has a 3.83 ERA in 423 career relief appearances over nine seasons with the Angels, Rays and Twins.
Cash Kruth is a reporter for MLB.com. Follow him on Twitter at @cashkruth. This story was not subject to the approval of Major League Baseball or its clubs.