An extensible corrugated hose comprises a first bearing layer (1) in a elastically extensible first polymeric material, a reinforcement (2) wound on said first layer (1), a stabilizing second layer (3) in an elastically extensible second polymeric material covering the reinforcement (2) for defining a corrugated single tubular body (4) with the first layer (1), a coating third layer (5) placed onthe second layer (3) for covering the corrugated single tubular body (4).