Wound compression dressings of the invention comprise: an elastic layer comprising an extensible material having recovery of greater than 90% when tested according to ASTM D412 at elongations up to about 150% an adhesive layer on at least a portion of a first side of the elastic layer and a release layer on at least a portion of a second side of the elastic layer opposite from the first side thereof. According to a method of providing direct compression to a wound, a wound compression dressing of the invention is provided, and the wound compression dressing is wrapped around the wound to provide the direct compression to the wound.