A bellows assembly for a vibration damper includes a bellows with a plurality of pockets with pocket walls and a pocket inner profile, a helical compression spring with windings consisting of a wound spring wire and pressure contact lateral faces. The helical compression spring is arranged in the bellows and the plurality of pockets extend coaxially to the longitudinal axis of the helical compression spring. Under pressure loading of the helical compression spring arranged in the bellows, the bellows folds together with the helical compression spring, wherein the wound spring wire is arranged at least in certain portions in the plurality of pockets, wherein the pocket walls of the plurality of pockets in which the wound spring wire is arranged at least in certain portions cover at least the mutually opposite pressure contact lateral faces of adjacent windings of the helical compression spring.