De La Rosa, 30, had been on the 40-man roster until last week when he was removed in order to make room for Luke Scott, who re-signed with the team.
De La Rosa spent most of the 2012 season as the closer for Durham, but he had two stints with the Rays, posting a 12.60 ERA in five appearances.
While at Durham, De La Rosa made a team-high 54 appearances out of the bullpen for the Bulls, posting an 0-4 record with a team-high 20 saves and a 2.79 ERA.
The 6-foot-7, 220-pound De La Rosa lead all International League relievers (minimum of 50 innings pitched) with a .158 opposing average. He also ranked second in the league among relievers with 11.6 strikeouts per nine innings.
Bill Chastain is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.