A protective cover for an electrical connector capable of torsional flexibility and adapted for use in combination with an electrical connector having a rotatable sleeve for actuating a locking pin to lock the connector's blades. The cover is a unitary elastomeric body comprising a clamping assembly for securing to the connector cable, a gripping sleeve for engaging the rotatable sleeve on the connector, and a torsionally flexible portion joining the clamping assembly and gripping sleeve. The torsionally flexible portion includes an annular series of radial pleats and a thin-walled tubular portion extending from the pleats.