The packaging comprising an essentially dimensionally stable, elastically deformable external container, an easily deformable inner bag arranged therein, which receives the filling material, and a valve, is characterized in that the valve comprises a base body which extends over the opening of the external container and comprises at least one through opening for the filling material and a pin oriented away from the external container, and a cap which is fastened to the neck of the external container and covers the base body and the upper end wall of which is formed by a membrane which delimits a receiving chamber for the filling material between the cap and the base body and comprises an outlet opening for the filling material which in the unpressurized state of the packaging is closed by the pin in that the membrane with the area containing the outlet opening rests under preload on the pin, the membrane being lifted from the pin upon exertion of pressure on the external container by the pressurized filling material contained in the receiving chamber, so that filling material can exit, and that the cap comprises an air chamber which is separated from the receiving chamber for the filling material and sealed relative to the receiving chamber and the external container and which is connected via at least one hole through the wall of the external container to the intermediate chamber between the external container and the inner bag and via at least one venting valve to the exterior atmosphere.