Abstract: A compression dressing for the treatment of lymphoedema can be applied directly by a patient without requiring the assistance of trained nursing staff. The dressing comprises a panel (1) of elastically stretchable material the outer surface of which has a loop pile structure. The panel is sized so that it can wrap once around a patient's limb with some overlap. A separable slide fastener is provided for connecting the panel to itself into a tubular support around the patient's limb, and comprises two rows of inter-engageable teeth mounted on two separate tapes (5,8). One tape (5) is secured to one longitudinal edge of the panel (1) and the other tape (8) is secured to an anchorage element which comprises a number of mutually spaced fabric tabs (11) each having on an under-surface hooks for anchoring the anchorage element (11) to the loop pile structure of the panel (1). The invention also provides a method of applying such a dressing to the limb of a patient.