Apparatus and a method for the provision of TNP therapy to a wound aredescribed, the apparatus comprising: asealing membrane for covering a wound to form a wound cavity; one end of anaspirant conduit operably associated with the woundcavity; vacuum means provided at a distal end of the aspirant conduit forapplying a vacuum to the wound cavity; and, air bleedmeans in fluid communication with the wound cavity. Various embodiments of airbleed port members are also described.