A prosthetic heart valve includes a radially expandable annular frame and a valve body disposed inside the frame. The valve body includes three leaflets configured to regulate the flow of blood through the frame in one direction. The prosthetic heart valve also includes an annular inner skirt secured to an inner surface of the frame. The inner skirt, has an inflow edge oriented toward an inflow end of the frame, an outflow edge oriented toward an outflow end of the frame, and first and second lateral edges extending from the inflow edge to the outflow edge, wherein the first lateral edge and the second lateral edge are secured together. The first lateral edge and the second lateral edge are oriented at an oblique angle relative to a plane that is perpendicular to a central longitudinal axis of the frame.