A manifold for treating a tissue site may include a first side and a second side opposite the first side. The second side of the manifold may be configured to face the tissue site, and to contract a greater amount than the first side of the manifold when exposed to a compressive force. In some illustrative examples, the manifold may be configured to distribute reduced pressure to the tissue site, and to contract when exposed to the reduced pressure. The manifold may be suitable for use with dressing assemblies, treatment systems, and methods for treating a tissue site.