In one example embodiment, a system for treating a tissue site is disclosed that may comprise a manifold including a non-porous film having a plurality of closed cells defined by a sealed region perforated with apertures extending through the sealed region, wherein the manifold is adapted to contact the tissue site. The system may further comprise a cover adapted to provide a fluid seal between a therapeutic environment including the manifold proximate one side of the cover and a local external environment on the other side of the cover. In one embodiment, the plurality of closed cells is adapted to form distal channels with the cover and the apertures are adapted to provide fluid communication between the distal channels and the tissue site. The system may further comprise a negative-pressure source fluidly coupled to the therapeutic environment and adapted to provide negative pressure through the distal channels and the apertures to the tissue site. In another example embodiment, a method for treating a tissue site is disclosed comprising positioning a manifold including a non-porous film having a plurality of closed cells defined by a sealed region perforated with apertures extending through the seals to contact the tissue site. The method may further comprise covering the manifold and the tissue site with a drape to provide a fluid seal between a therapeutic environment including the manifold proximate one side of the drape and a local external environment the other side of the drape. The method may further comprise providing negative pressure from a negative-pressure source coupled to the therapeutic environment wherein the negative pressure is applied through the distal channels and the apertures to the tissue site.