Compressive dressing (1) applicable in a single winding to a body part, the dressing (1) having an inner surface (70) and an outer surface (71) essentially having the same area the dressing (1) comprising:—A multilayer structure comprising: i) an inner elastic layer (10) defining said inner surface (70) and provided for contact with the skin, the inner layer (10) being hydrophilic, non-adhesive to the skin and of absorbing material, ii) an elastic intermediate layer (20) permeable to gases and impermeable to liquids, and iii) a flexible outer layer (30) defining the said outer surface (71), wherein the multilayer structure has at least a first edge region (40) and a second edge region (50) generally opposite one other, and—closing formations (60) which can be mutually coupled at the first edge region (40) and the second edge region (50) to close the multilayer structure in a single winding on the body part of the body.