The present invention is directed to an absorbent article having a backsheet, an absorbent core and cuffs and/or a topsheet, the topsheet being provided with at least one opening adapted to receive fecal material, the cuffs or topsheet comprising a nonwoven sheet material, comprising typically at least two nonwoven layers, the layers being typically only partially attached to one another and each comprising typically two or more nonwoven webs that are laminated together, whereof the skin-contacting nonwoven layer or web has a specific low bending rigidity, whilst the nonwoven sheet as a whole has a very high barrier function.