A fluid transport tube comprising at least an inner layer, an outer protective layer, and an intermediate temperature regulator device connected to a source of voltage and suitable for heating the transported fluid towards an equilibrium or reference temperature by using a positive temperature coefficient thermistor presenting electrical resistance that is automatically controlled by temperature and that is connected to the source of voltage via at least two conductor elements delivering the current needed for heating it, wherein each conductor element is a metal wire that is supported by a textile ply wound around the inner layer of the tube, and wherein said inner layer is based: on at least one elastomer; or on at least one thermoplastic elastomer selected from the group consisting of ionomers and olefin-based thermoplastic elastomers having a cross-linked elastomer phase.