Abstract: A method and an arrangement for the packaging of a material-web roll, includes the roll being surrounded on all sides by packaging material. The packaging material is closed by a pleating device for the pleating of the axial projections of the packaging material on the end faces of the roll. A device for applying the outer end face covers is also included. When packaging the roll, air is enclosed within the package which often results in a bursting of the package when the roll is being deposited on one of its end faces. To avoid this bursting, a portion of the air mass is removed from the interior of the packaging material and after closing the package, the volume of the still enclosed air is being reduced by the provision of a heating device for heating at least a portion of the air volume being enclosed by the packaging.