The AL champions made their first significant moves of spring training Saturday, less than three weeks before the season opener.
Tomko, who hasn't pitched in the major leagues since Sept. 14, 2009, because of a nerve problem in his right arm, agreed to a minor league deal with the Rangers last month.
Tomko is a journeyman pitcher who has played for nearly every MLB team including the Athletics, Yankees, Padres, Royals, Giants, Cardinals, Reds, Dodgers and the Mariners.
With the moves, the Rangers have 52 players on the spring training roster. Tomko is among 16 non-roster players.