Embodiments of a prosthetic heart valve are disclosed. An implantable prosthetic valve can include an annular frame having an inflow end, an outflow end and a central longitudinal axis extending from the inflow end to the outflow end. The valve can include a support layer, where a first portion of the support layer extends circumferentially around the central longitudinal axis along an outer surface of the frame and a second portion of the support layer extends circumferentially around the central longitudinal axis axially beyond the inflow end of the frame. The valve can further include a valvular structure, where at least a portion of the valvular structure is connected to the second portion of the support layer and is unsupported by the frame.