A collapsible and expandable stent body includes a generally tubular annulus section, one or more prosthetic valve elements mounted to the stent body, and a cuff attached to the stent body. The prosthetic valve is operative to allow flow in an antegrade direction but to substantially block flow in a retrograde direction. The prosthetic heart valve may include paravalvular leak mitigation features in the form of first and second sealing members. The sealing members are attached to the cuff and extend circumferentially around an abluminal surface of the stent body. The sealing members each have an open side facing in a first axial direction and a closed side facing in an opposite second axial direction. Flow of blood in the second axial direction will tend to force blood into the sealing members and cause the sealing members to billow outwardly relative to the stent body, helping to mitigate paravalvular leak.