In one embodiment, a delivery assembly can comprise an annular frame, a leaflet structure positioned within the frame and secured thereto, and an outer skirt positioned around an outer surface of the frame. The annular frame can comprise an inflow end and an outflow end and can be radially collapsible and expandable between a radially collapsed configuration and a radially expanded configuration. The outer skirt can comprise pericardial tissue having a fibrous parietal layer defining a first surface of the outer skirt and a serous parietal layer defining a second surface of the outer skirt. The outer skirt can be positioned such that the first surface is facing away from the frame and the second surface is facing towards the frame.
