Method of making a hose construction

In a method of making a hose construction comprising the steps of forming a flexible corrugated hose of a polymeric material and having a plurality of outwardly convex projections with recesses therebetween and extending from one end thereof to the other end thereof, fixing a pair of hose connectors to opposite ends of said hose, and disposing a sleeve which has opposite end portions around said hose, the improvement comprising the step of fastening said sleeve to said projections of said hose only at its opposite end portions by sandwiching each opposite end portion between said hose and its respective hose connector so that each hose connector holds its respective end portion of said sleeve in sandwiched relation against at least one projection of said hose and against at least one recess of said hose that is adjacent to said one projection and with said sleeve making only substantially circular line contact with said projections between said end portions and being substantially taut between said end portions and substantially free of sags between said projections and over said recesses between said end portions whereby said sleeve serves to improve the fluid pressure resistance and external wear resistance of said hose while keeping its flexibility substantially intact.