The present invention relates to a flexible pipe structure wherein transverse displacement caused by buckling of the elongate elements of a tensile armouring layer when the pipe is being laid or used in deep sea is limited. The invention aims to reduce the play between the elongate elements of the tensile armouring layer so as to limit transverse displacement possibilities while providing the pipe with the required flexibility and mechanical characteristics. The elongate elements can freely move longitudinally in relation to one another to ensure flexibility of the pipe.