Tolleson, 25, was 3-1 with a 4.30 ERA in 41 relief appearances (37 2/3 innings pitched) over the last two seasons with the Dodgers. He had only six appearances in 2013 because of a lower back surgery and a left hip injury. Tolleson, who attended Allen High School and pitched at Baylor, has a career 1.34 ERA in 107 appearances (127 2/3 innings pitched) in the minor leagues. He also has a .932 career WHIP in the minors with 185 strikeouts against 31 walks.
The Rangers also added right-handed pitchers Lisalverto Bonilla and Ben Rowen, along with infielder Luis Sardinas, to the major league roster. Left-handed pitcher Edwar Cabrera cleared waivers and been assigned outright to the minors.
Rowen, 25, went 6-1 with a 0.69 ERA in 51 total appearances for Frisco and Round Rock in 2013. Bonilla, 23, was 7-5 record with six saves and a 4.79 ERA in 47 games (two starts) for Frisco and Round Rock last season. Sardinas, 20, batted .288 with two home runs, 46 RBIs, 81 runs scored and 32 steals in 126 total games with Myrtle Beach (High-A) and Frisco in 2013. He has a .354 (45-127) average in 31 games with La Guaira in the Venezuelan Winter League.
Cabrera, 26, was received from Colorado on a waiver claim on October 16.
The Rangers now have 38 players on the 40-man roster.