An apparatus for promoting the healing of a wound includes a pressure-sensitive adhesive disposed around a periphery of the wound, and a membrane layer in positioned over the wound with a lower surface in contact with the pressure-sensitive adhesive to form a substantially fluid-tight seal to define reservoir over the wound in which a negative pressure may be maintained. In fluid communication with the reservoir is a vacuum source suitable for providing an appropriate negative pressure to the reservoir to stimulate healing of the wound. A resilient member is placed over an upper surface of the membrane layer, and a compression member is configured to apply a compressive force to the resilient member. The resilient member distributes the compressive force to the membrane layer to reinforce the fluid tight-seal.