An extensible-retractable helically reinforced hose is formed by helically wrapping a freshly extruded bead of thermoplastic material about a rotating mandrel to form a helical array of spaced reinforcing coils, and by helically wrapping a freshly extruded thin yet wide web of thermoplastic material so edge regions of the wide web are placed onto and bond continuously with the peripheries of each adjacent pair of the reinforcing coils, with a leading edge region of each new wrap of the web overlying and bonding to a trailing edge region of a prior web wrap. Central portions of each web wrap extend radially inwardly and are sandwiched between adjacent reinforcing coils when the hose is retracted to a minimal axial length.