An absorbent hygiene product for acquiring fluids, having a flexurally yielding topsheet and a flexurally yielding backsheet, has, disposed between these sheets, an absorbent laminat, which in turn has two flexurally yielding outer plies, arranged adheringly between which are at least two diagonally intersecting, pre-tensioned plies of elastic filaments, a quantity of a superabsorbent polymer being incorporated in each of the discrete sections thus formed, and the topsheet-side outer ply of the laminate consists of a hydrophobic material, and the backsheet-side outer ply of the laminate consists of a hydrophilic material.