A prosthetic heart comprising a tube having proximal and distal ends, and a central lumen, a tubular frame having proximal and distal ends, and a central lumen, the tubular frame, comprising a plurality of radially-extending members, being disposed on an outside wall of the tube, the distal end of the tube being everted around the distal end of the tubular frame and extending proximally along the tubular frame and over the radially-extending members, and a valve member attached to the tube.