A flexible, kink-resistant, delivery catheter or sheath (83) for percutaneously delivering implantable medical devices. The delivery catheter sheath includes a flat wire coil (95) with uniform spacing between the turns, which is compression fitted about and proximal the distal portion of an inner, lubricous material polytetrafluoroethylene tube (84). The delivery catheter or sheath further includes an outer tube (85) of a heat formable polyamide material, which is heat formed and compressed through the spaces between the turns of the wire coil to mechanically connect to the roughened outer surface of the inner tube. The distal portion (87) of the inner tube is expanded and everted or folded-back over itself and connected to the distal end of the outer tube to form a lumen having a larger diameter than the rest of the catheter.