Mujica, who will report to Minor League camp on Thursday, allowed two runs on four hits with two walks and seven strikeouts over 8 1/3 Grapefruit League innings. The 10-year veteran spent last season with Boston and Oakland, posting a 4.75 ERA over 49 appearances.
After his release, Mujica had expressed an openness to staying with the organization.
"I'll have to see," he said. "[Manager Pete Mackanin] told me I'm going to have pretty good chances, if I go to Triple-A, in getting back to the big leagues."
Andrew Simon is a reporter for MLB.com. Follow him on Twitter @AndrewSimonMLB. This story was not subject to the approval of Major League Baseball or its clubs.