A steering wheel cover, having a circumferential length and a transverse width, comprises a plurality of layers that cover each other at least partially in projection. The layers include a lower electrically conductive shielding layer and an upper cover layer, between which are arranged, starting from the shielding layer, an insulation layer and at least one electrically conductive sensor layer. The shielding layer and/or the sensor layer has/have a conductor structure with conductors extending in the length and width directions of the steering wheel cover. The shielding layer and/or the sensor layer is/are electrically connected to connecting conductors of a connecting cable. The electrical connection is formed by a metal foil. The steering wheel cover serves to detect whether a driver's hand is on the steering wheel.