A cover electrically couples multiple storage cells of an electrical energy storage module. The cover has electrically conductive contact sockets which are embedded in an electrically insulating material of the cover and taper inwards on their insides, and into which terminals of the storage cells can be inserted to make electrical contact. Two connections are provided, one of which forms a positive terminal and the other of which forms a negative terminal of the electrically coupled storage cells. Multiple conductors electrically couple the storage cells, in particular for coupling the storage cells in series, in a predefined manner. The conductors are completely accommodated inside the cover, and the cover can be mounted on the storage cells such that it can be detached non-destructively.