A bandage wrapping system provided by the present invention includes an elongated strip of cohesive material and a dressing pad. The elongated strip of cohesive material includes a self-cohesive interior surface and exterior surface which are secured in a loop by overlapping opposing ends of the exterior layer and the interior layer. The dressing pad is configured to move along a length of the interior surface of the elongated strip of cohesive material and bonds thereto. The dressing pad adheres to the interior surface of the elongated strip via a layer of cohesive bonding material. The bandage wrapping conforms to any area by stretching and contracting with the movement of that area to stay in place.