A prosthetic heart valve (400) may include a collapsible and expandable stent (406) extending in a flow direction between a proximal end and a distal end, a cuff (412) attached to an annulus section of the stent, a plurality of prosthetic valve leaflets (410) each having a belly attached to the cuff between a first location and a second location downstream of the first location in a flow direction, and a sealing structure (450C) attached to the annulus section of the stent. The annulus section of the stent may be adjacent the proximal end. The stent may include a plurality of struts shaped to form a plurality of cells connected to one another in a plurality of annular rows around the stent. The sealing structure may have a deployed condition with a diameter greater than a diameter of the proximal end of the stent when the stent is in an expanded use condition.