Abstract: This invention deals with a permanent hose fitting for use with reinforced hose including a flexible inner tube, a wire reinforcement which surrounds the inner tube and an outer cover, the hose being comprised primarily of rubber or rubber-like material. The fitting is of the steel socket and insert type wherein an annular recess is provided for receipt of the hose with cover thereon. Projections on the inner surface of the socket are of a configuration to pierce the cover upon crimping or swaging of the socket, to contact the reinforcement and to be deformed thereby into gripping engagement. Controlled bending of the shape-biased projections provides a device for accommodation of size and material differences and allows for compromise in fitting design for different sizes or styles of hose.