A compression bandage shaped as an elongate rectangle is made of a textile fabric on which a hook strip is fastened along a narrow side of a small portion of a lateral face, or hook side. The fabric contains elastic filaments running in a longitudinal direction and, in a transverse direction, includes virtually inelastic supporting filaments having a spring constant in the longitudinal direction that ranges from 0.3 to 3 Newtons/cm of longitudinal stretching and a per meter length and per decimeter width of the compression bandage. Small loops made of soft filaments are interwoven and distributed uniformly over the entire area of the lateral face, or fleece side, opposite the hook strip. These small loops are oriented approximately perpendicularly to the lateral face, in size and distance from one another, and are complementary to the hooks of the hook strip for forming a releasable hook-and-loop closure.
