The invention relates to a multi-component dressing (100) for treating wounds of the human or animal body using a reduced pressure, having a wound-covering element (4) for mounting the dressing (100) at the surface of the skin and the mucous membrane and at least one connecting site (5), which is in contact with the wound space (10) and over which the materials in the wound space (10) can be evacuated. The multi-component dressing has super-absorbing polymers, the absorbed wound secretions remaining bound to polymers in the wound space until the latter are removed from the wound space and the polymers, due to their binding capacity, supporting reciprocal synergies with the sub-atmospheric pressures. Wound exudate, promoted by the reduced pressure, is also stored and controlled by polymerized granulates.