Abstract: The allergen-inhibiting encasing for receiving objects contaminated with respirable fine and extremely fine dust, house dust, moulds and allergens, e.g. excretions of house dust mites, together with air, especially bedding and/or upholstery of all kinds, comprising at least a web of woven fabric or a nonwoven and a mechanical closure, such as a zip fastener, in a configuration blocking the passage of allergens and extremely fine particles. The encasing is characterized in that the web includes a fabric which is coated with polyurethane-acrylate copolymer foam and is equipped with increased density, by calendering, up to a degree of filtration of almost 100% for particles smaller than 1 &mgr;m. Also, the zip fastener is sealed on the inner face of the encasing by overlapping with a sealing strip comprising at least three plies of fabric.