An absorbent article having a fluid-handling system includes a fluid permeable bodyside liner; a fluid impermeable outer cover; an absorbent core disposed between the liner and the outer cover, wherein the absorbent core includes superabsorbent material and optionally fluff pulp; a tissue core wrap encircling the absorbent core; and a distribution sub-layer disposed between the absorbent core and the outer cover and within the core wrap, wherein the distribution sub-layer includes a three-dimensionally patterned, wetlaid, cellulosic tissue nonwoven material. The distribution sub-layer includes opposing distribution sub-layer surfaces each having a textured surface, wherein each surface includes an average material plane, a plurality of ridges extending in a z-direction from the average material plane, and a plurality of grooves alternating with the plurality of ridges, wherein the grooves depth extend in the opposite z-direction from the average material plane.