Tolleson appeared in only six games last season due to lower back surgery and a left hip injury. The former Baylor pitcher was 3-1 with a 4.30 ERA in 41 appearances the last two seasons for the Dodgers, and has a 1.34 ERA in 107 minor league games since being drafted in 2010.
Texas also Wednesday added infielder Luis Sardinas and right-handers Lisalverto Bonilla and Ben Rowen to its 40-man roster.
Left-handed pitcher Edwar Cabrera was assigned outright to the minor leagues after clearing waivers.
The Rangers have two open spots on their 40-man roster.
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- Shawn Tolleson