The invention relates to a tampon, having essentially a cylindrical shape, comprising at least three ribs defined by grooves, characterised in that at least one rib or groove, in transverse cross-section, has a median at least partially diverging from the radius and to a process for manufacturing tampon. <;??>;The invention further relates to a press for manufacturing a tampon by pressing the absorbing material radially, comprising press jaws including penetrating segments for penetrating the absorbing material and pressing shoulders, characterised in that the median of at least one penetrating segment diverges from the radius of that penetrating segment is also described.