A wound-closing dressing, which is suitable for use as part of a reduced-pressure, wound-treatment system, may include a sealing drape, one or more contracting elements, and a gripping member. The contracting element may be coupled to the sealing drape and is configured to contract when activated and to generate a closing force. A gripping member is coupled to the sealing drape and is configured to transmit the closing force to a patient's epidermis. Other dressings, systems, and methods are also disclosed.