Method and assembly for evacuating a package (2), such as a vacuum package filled with a product such as nuts. The package is at least partially made of packaging film (6). The method employs a suction device (4) provided with a suction opening, for evacuating the package through an aperture (12) in the packaging film. The package is provided with a substantially plate-shaped, rigid element (8), one main surface of which substantially lying in contact “with the inner side of the packaging film, wherein the aperture in the packaging film is provided at the location of the substantially rigid element. The method further includes the sealing abutment of the suction opening against an outer side of the package, at a location where the substantially rigid element lies in contact with the inner side of the packaging film, in such a way that the aperture is in fluid connection with the suction opening.