A prosthetic heart valve can include a radially collapsible and expandable annular frame having a plurality of struts defining openings. The prosthetic heart valve can further include a plurality of leaflets that regulate the flow of blood through the frame. The prosthetic heart valve can also include a sealing member mounted on the frame and having an inner layer and an outer layer. At least the outer layer is mounted on the outside of the frame, and the inner layer covers at least the openings in the frame between adjacent cusp portions of adjacent leaflets and the inner layer does not cover one or more openings in the frame at locations facing the outflow surfaces of the leaflets to permit retrograde blood to flow through the one or more uncovered openings in the frame and into space between the outer layer and the frame.