A conventional wound covering bandage, which completely covers the wound area in an airtight, is provided with at least one opening located over the wound area, on which a stack of layers is provided, which comprises at least a filter disk, at least one paper-like disk which allows vapor diffusion but is water-impermeable, and at least one further flexible film, likewise having an opening, the flexible film and the bandage being superposed with respect to one another and the opening in the flexible film being in registry with the opening in the bandage. The flexible film covers and seals off all the aforementioned stack of layers by adhering to a face of the water-impermeable disk and a border area on a face of bandage circumscribing the stack of layers. The water-impermeable disk seals off the layer stack on the side facing the outside air.
