A torque sleeve for use on a coaxial cable connector that facilitates rotation of the coaxial connector onto an interface port is disclosed. The inner bore of the torque sleeve is dimensioned to allow the torque sleeve to fit over the back end cap of the coaxial connector and yet engage with the nut on the front of the coaxial connector. The torque sleeve may also have features to ensure that it stays in place over the coaxial connector and/or to promote continuity of grounding connection between the coaxial connector and interface port. The torque sleeve may be used for jumper cables, which possess a length of wire and two coaxial connectors.