Abstract: An inter-cell cooling unit for arrangement between two battery cells of a battery module. The inter-cell cooling unit has an outer casing that provides a first cooling side and a second cooling side opposite the first cooling side in the first direction, and at least one first cooling channel section extending within the outer casing that can be flowed through by a coolant. The inter-cell cooling unit includes a multi-layer compression component which is arranged within the outer casing and which includes at least one first outer layer made of a first plastic material and a compression layer made of a second plastic material which is more compressible than the first plastic material and which is flatly adjacent to the first outer layer with respect to the first direction.