A disinfecting cover for use in disinfecting a weight bearing upper surface of a resilient medical patient pressure redistribution support includes a thin barrier membrane drapable on top of the weight bearing upper surface of the resilient support, and a peripherally-extending edge terminating between the peripherally-extending side of the resilient support between the weight bearing upper surface and the bottom surface of the support. The thin barrier membrane comprises an anti-microbial disinfectant, and being non-fibrous, and impervious to the transfer of fluid from the first main surface to the second main surface. The thin barrier membrane comprises a thickness operable to maintain the weight distribution of a patient on the weight bearing upper surface of the resilient medical patient pressure redistribution support substantially the same compared to the weight distribution without the thin barrier membrane.