A prosthetic heart valve can include a frame, a valve component, and a sealing member. The frame can have an inflow end portion, an outflow end portion, an intermediate portion disposed between the inflow and outflow end portions, and a plurality of struts. The frame can be radially compressible and expandable between a radially-compressed configuration and a radially-expanded configuration. The valve component can be disposed within and coupled to the frame and have a plurality of leaflets. The sealing member can have a plurality of ribs and a plurality of drapes. The ribs can be coupled to and extend radially outwardly from the frame when the frame is in the radially-expanded configuration. The drapes can be coupled to and extend radially between the frame and the ribs. The sealing member can be configured to reduce or prevent perivalvular leakage around the prosthetic heart valve.