Joe Ferguson says 200 drivers shuttle city crews to work sites then sit and wait for crews to finish the job.
Ferguson argues that long-term collective bargaining agreements lock in the position and that city crews could easily drive themselves.
A 10-year teamsters union contract -- runs until June 2017 prohibits the city from transferring certain driver responsibilities to other employees except during emergencies.
ABC7 has been unable to reach the mayor's office for comment.