A disposable absorbent product (20) such as, e.g. a baby diaper, an adult incontinence pad, a sanitary napkin or the like, includes a liquid pervious topsheet (24), a liquid impervious backsheet (26), and an absorbent core (28) positioned between the topsheet (24) and the backsheet (26). The absorbent core (28) has a liquid receiving surface directed towards said topsheet (24), and the absorbent core (28) is provided with at least one embossing (50) forming a channel for liquid drainage at said receiving surface. Preferably an acquisition layer (40) is provided between the topsheet (24) and the absorbent core (28). The acquisition layer preferably extends into the embossing (50), while a resilient absorbent member (30) is preferably provided between the absorbent core (28) and the acquisition layer (40) in the form of stripes arranged longitudinally spaced along the upper longitudinal sides of the channel (50) formed by the embossing.
