A heart valve assembly (100) includes a heart valve (116), a self-expandable and collapsible stent (112), and a sealing member (114). The stent (112) includes an inflow end (120) and an outflow end (122), and surrounds and supports the heart valve (116). The sealing member (114) is connected to the inflow end (120) of the stent (112) and extends around a periphery of the stent (112). The sealing member (114) is connected to the inflow end (120) of the stent (112), overlaps a portion of the heart valve (116), and extends around an outer periphery of the stent (112).
