A thermally shrinkable wrapper, in particular for use in sterilization processes, includes a first layer of a thermally shrinkable film in the form of a continuous band having a pre-determined width and at least approximately parallel longitudinal edges that define a longitudinal direction of the wrapper. A second layer of a thermally shrinkable film in the form of a continuous band having a pre-determined width and at least approximately parallel longitudinal edges, is placed over said first layer so that the longitudinal edges of the first and said second layer are at least approximately aligned with respect to each other. A pair of bearing bands provided by a thermally non-shrinkable material are embedded and welded between the first layer and the second layer in the area of their aligned longitudinal edges.