The Rangers and reliever Joakim Soria have agreed to a two-year contract pending a physical, Fox Sports' Ken Rosenthal reported Monday.
CBS Sports' Jon Heyman reported that the deal is for two years and $8 million.
The 28-year-old Soria missed the entire 2012 season after having Tommy John surgery on his elbow in April.
Soria has played his entire five-year career in Kansas City with the Royals, where he posted a 2.40 career ERA and 1.04 WHIP. In 60 1/3 innings in 2011, Soria struck out 60 batters and had a 4.03 ERA. He would join a bullpen that includes closer Joe Nathan.