Compression sleeve fabricated of a composite material that surrounds the joint to be supported and has a main layer of elastically stretchable material and at least one thin film of stretchable material which is laminated to the main layer and provides additional compressive forces that combine with compressive forces provided by the main layer in supporting a joint about which the sleeve is stretched. The material has a third layer which in some embodiments is a nylon jersey material, while in others it is another stretchable material that provides additional compressive forces and support.
