A connecting device (2) for use in the vacuum therapy of wounds has a suction tube (10) and a vacuum-tight and flexible support means (12) for the suction tube (10), on which the suction tube (10) is held in a vacuum-tight manner, wherein the support means (12) can be applied in an essentially vacuum-tight manner to a vacuum dressing (6) that overlaps the wound and seals it with respect to the atmosphere. A fluid feed tube (40) for conveying a fluid medium to the wound space is located in the same plane as the suction tube (10) and extends to the support means (12). The fluid feed tube (40) extends sealingly through an opening (42) in the support means (12) and projects through an opening (20) in the vacuum dressing (6) into the wound space or into a wound support (50) provided there.