A method for concurrent data migration includes classifying files to be migrated into plural jobs, selecting media to which to migrate each job, and using plural drives concurrently to write the jobs to the media. The selection of a medium is performed in a way that prevents the number of writeable media from exceeding the number of available drives, unless no allocated medium has sufficient space to store any files in a migration job. A medium is preferentially selected that has already been allocated for writing, has space to store at least one file in the job, is not in use for another job, and can be robotically mounted on a drive. If such a medium-does not exist, then the set of available media is canvassed to locate an alternative medium.