The invention relates to a heating device for a device for transporting a fluid containing a hydrocarbon. The heating device comprises a rigid structure extending between two lateral walls, forming a space between the lateral walls. A flexible membrane comprising a heating structure extends into the space in order to define, in the space, an inner cavity and an outer cavity. Pumping structure designed to supply a fluid to the inner cavity, remove the fluid therefrom, or keep the fluid therein, in order to bring the membrane into contact with the transport device so as to heat same.