A pipe useful for transporting fluids which may be under pressure having limited permeability to fluids transported therein, said pipe comprising a flexible inner sheath made of a thermoplastic material or elastomer, an outer sheath comprised of an outer envelope of a flexible polymeric material and a metal layer disposed around said inner sheath, said metal layer comprising at least one layer of flexible, thin and flat metal band wound spirally at a winding angle .alpha. greater than 50.degree. and less than 90.degree. to an axis of the pipe, turns of said at least one layer of a flexible, thin and flat metal band having overlapping zones to ensure total wrapping of said inner sheath, said overlapping zones being provided by consecutive turns of the at least one layer of a flexible, thin and flat metal band, the overlapping zones of the turns and zones between said overlapping zones both having widths at least equal to a degree of deformation imposed on the outer sheath by maximum stretching and bending of the pipe;
- said metal layer being cemented to at least one of the inner sheath and the outer envelope.