Systems, assemblies, and methods for providing negative-pressure therapy to a tissue site are described. The system can include an absorbent and a sealing layer configured to cover the absorbent. The system can also include a blister fluidly coupled to the absorbent. The blister may have a collapsed position and an expanded position. A first check valve may be fluidly coupled to the absorbent and the blister and configured to prevent fluid flow from the blister into the absorbent if the blister is moved from the expanded position to the collapsed position. A second check valve may be fluidly coupled to the blister and the ambient environment and configured to prevent fluid flow from the ambient environment into the blister if the blister is moved from the collapsed position to the expanded position.