A dressing for treating a tissue site, particularly a peritoneal or abdominal site, is disclosed. The dressing may comprise: first and second layers, each being made from a liquid-impermeable material and being at least partially fenestrated, the layers being coupled together to define a chamber therebetween; and disposed within the chamber a third layer comprising a manifold having a central region, and a perimeter region containing perforations arranged in a pattern defining a plurality of sub-regions. The first and second layers can be coupled using a plurality of welds or bonds through the perimeter region perforations. Optionally, the manifold does not comprise, and the chamber does not contain, any manifolding elements extending outward from an outer edge of the perimeter region.