Motor vehicle battery module

A motor vehicle battery module for an electric or a hybrid vehicle, comprising:

• at least two battery cells, which are situated next to one another in a lateral direction of the motor vehicle battery module and form a battery pack;
• two pressure plates, which are situated on opposite sides of the battery pack and are arranged such that the at least two battery cells are arranged between the two pressure plates;
• at least one spacer element which has two first projections respectively disposed on opposite outer edges of a main body of the at least one spacer element, wherein a respective first contact face is formed on each of the two first projections, by which the at least one spacer element abuts against a side face of an adjoining battery cell, where the respective first contact faces are perpendicular to the lateral direction of the motor vehicle battery module, wherein
• the two first projections are smaller than the side face, which adjoins the at least one spacer element, of the adjoining battery cell, so that a portion of the side face is unsupported,
• the two first projections respectively disposed on the outer edges of the main body of the at least one spacer element form a hollow space therebetween and between the spacer element and the adjoining battery cell such that the adjoining battery cell can extend into the hollow space during operation of the motor vehicle battery module.