An implantable prosthetic valve that is radially collapsible to a collapsed configuration and radially expandable to an expanded configuration includes an annular frame having an inflow end, an outflow end, and a longitudinal axis. A leaflet structure is positioned within the frame and secured thereto, and a sealing element is secured to the frame. The sealing element includes a first woven portion extending circumferentially around the frame. The first woven portion includes a plurality of interwoven filaments. The sealing element further includes a second woven portion extending circumferentially around the frame and spaced apart from the first woven portion along the longitudinal axis of the frame. At least a portion of the filaments exit the weave of the first woven portion and form loops extending radially outwardly from the frame.