A method of manufacturing a wire-reinforced flexible rubber hose that is particularly suitable for use in breathing air applications. The method includes positioning a section of wire-reinforced tubing on a forming mandrel and then positioning a sleeve of uncured rubber to cover the section of wire-reinforced tubing. Cording is then wrapped around the sleeve of uncured rubber such that each adjacent wrapping of cording is disposed between and separated by the wire helix of the wire-reinforced tubing. The sleeve of uncured rubber is cured while the cording is wrapped thereon to form a cured hose.