A tube-sock shaped polymeric covering for wearing over an amputation stump. The covering has an open end for receiving the amputation stump and a closed end opposite the open end. The covering includes a docking means for attachment of an external device to the covering. The covering may also include one or more areas of reinforcing material that can be present in the form of a strip or rod, for example. The reinforcing material is comprised of a material that is less stretchable than the polymeric material forming the covering, and acts to reduce stretching and/or movement of the covering