The device (100) has a gas-tight wound coverage element (3) of film-like material that is adhesively attached to the skin surface about the wound area to form a sealed space between the wound and the covering element, at least one drainage hose (4) for insertion into the space for evacuating substances from the space and at least one absorption body (2) arranged in the space to absorb wound secretions. The absorption body has at least one layer (7) of a textile section enriched with super-absorbents enclosed by a liquid transmissive sleeve (6), whereby the absorbed wound secretions remain in the absorption body and hence under the covering element until removal of the absorption body.