The composite wound dressing apparatus promotes healing of a wound via the use of an external peristaltic vacuum pump. The external peristaltic pump applies a vacuum pressure to the wound to effectively draw wound fluid or exudate away from the wound bed. The external peristaltic pump is tethered to the wound dressing and is portable, preferably, carried by the patient in a support bag, which permits patient mobility. Moreover, the patient does not need to be constrained for any period of time while exudate is being removed from the wound.
