Abstract: The invention relates to a covering for suitcases, comprising a tubular cover which is capable of being drawn back or—synonymously—pulled respectively over a suitcase and which is open on both sides and comprises at least two different portions produced from different materials, wherein at least one portion of the covering joins the two tube openings and consists of a resilient material, and at each tube opening a belt which traverses the tube opening and is provided with a re-closable mechanism, wherein the ends of the belt are fastened opposite each other at the respective tube opening.