Push-on hose construction for a self-gripping connection with a barbed nipple or other push in fitting end. The hose has an innermost core tube which exhibits a reduced coefficient of friction for easier insertion of the fitting end. Such core tube may be extruded or otherwise formed of thermoplastic polyurethane or other resin which is dulled or otherwise incompatibilized by the addition of an immiscible such as nonpolar polyolefin homopolymer, copolymer, or mixture thereof.