In a package (1) for a product (3) with at least one hygroscopic pourable solid, to a shipping container (4) [sic] there is a desiccant wrapper (10) of moisture-tight material that surrounds a product bag (2) filled with the product (3) and in which the desiccant (14) is located on an inner side (11) of the desiccant wrapper (10) facing the product bag (2). The desiccant (14) is located in at least one, preferably in several, desiccant bag(s) (13). The at least one desiccant bag (13) is fixed and covered by a moisture-permeable perforated cover (16) on the inner side (11) of the desiccant wrapper (10). The desiccant wrapper (10) is matched either to the shape of the product bag (2) or to the shape of the shipping container (4). The product bag (2) for holding the product (3) is a nonwoven textile of thermally bonded fibers of high density polyethylene. The desiccant wrapper (10) is a thin wrapper of polyethylene or has such a wrapper or coating.