Flexible tubular fluid-transfer conduit

"Flexible tubular conduit for transporting fluid in the field of offshore oil exploitation." This flexible tubular conduit (1) comprises a pressure sheath (2), a pressure vault comprising at least one pressure-resistance reinforcement (3), an intermediary sheath and at least one tensile armor ply (5, 6 ); it comprises on the internal annular space (30) formed between the pressure sheath (2) and the intermediate sheath (4), a layer (13) allowing the drainage of gases present in this annular space (30); said layer which allows drainage is formed by winding with a short pitch of at least one elongate element comprising transverse draining spaces or slits that allow the draining of the gases between the successive spiers of the winding in a substantially transverse direction to said coils.