Bioprosthetic heart valves and methods for fabricating bioprosthetic heart valves are provided. Biological tissue is attached to biocompatible material. The biocompatible material is folded to form a tubular structure with the attached biological tissue located on the inner surface of the tubular structure, the biological tissue forming leaflets of the heart valve. A stent is secured around the outer surface of the tubular structure. A region of the biocompatible material is cut. The biocompatible material is folded at the cut region away from the tissue and around the downstream edge of the stent and is secured to the stent's outer surface. The biocompatible material is folded at the upstream end of the tubular structure around the upstream edge of the stent and attached to the stent's outer surface so that the stent's inner and outer surfaces are covered with no more than a single layer of the biocompatible material.
