Abstract: A tubular compression sheath formed of a resilient yarn or fabric is structured to comprise a band defining an upper open end and an oppositely disposed enclosed end with an intermediate portion extending therebetween. The intermediate portion is formed in two sections, with the lower of said two intermediate sections having a knitted pattern with a higher yarn density than the upper intermediate section. The diameter of the sheath progressively decreases from the upper open end toward the lower enclosed end and the intermediate section is preferably formed from yarn having a thickness within a range between about 30 to 44 dtex. The preferred material from which the intermediate section is formed is Nylon 66 HE crimped. The sheath provides a desired radial compression about the limb upon which it is worn without producing undesired axial frictional forces across the area of the intermediate section.