Adhesive bandages are provided with a water-vapor permeable back layer and an adhesive layer, in which the adhesive layer includes 10 weight percent of a disperse internal phase of hydrophilic particles that are water-swellable in an outer phase that includes at least 10 weight percent of a styrene block copolymer and at least 20 weight percent of an ester resin of colophony, and that can further contain at least one anti-virus substance.