Conn. Gen. Stat. § 6-38i

All special deputy sheriffs serving on December 1, 2000, as prisoner custody and transportation personnel and as court security personnel and all deputy sheriffs serving on December 1, 2000, as prisoner custody or transportation personnel and as court security personnel who elect to continue to perform such functions under section 6-38f shall continue to provide such prisoner custody, transportation or court security services after December 1, 2000, as judicial marshals and shall be employees of the Judicial Department. The Judicial Department shall recognize the bargaining unit of special deputy sheriffs for the purpose of collective bargaining with judicial marshals.