A wound cover connecting device for the sealing connection of a drainage tube and a wound cover covering a wound has a base body for the sealing contact on an outside of the cover. According to the invention, the device comprises at least one penetration element for producing a through-passage in the cover. The device enables a simple, fast, and tight connection between the cover and the tube. In addition, it enables a treatment of the wound that is as uniform and has as large a surface as possible.
