Transmission element for a traction chain of the parallel hybrid type, said element comprising a movement input shaft intended to be connected to a thermal engine, a movement output shaft intended to be connected to a gear box, an electrical machine comprising a stator and a rotor, a first connecting clutch between the input shaft and the rotor, and a second connecting clutch between the rotor and the output shaft, said clutches being of the wet type, said transmission element further comprising a circuit of lubrication and/or cooling fluid, and control means of said clutches, which comprise a circuit of control fluid, in particular a hydraulic control circuit, the control circuit comprising a pressure chamber for each clutch, such that the pressure of control fluid which prevails in a pressure chamber determines the state of the respective clutch wherein said control means comprise return means of at least one of said clutches to the closed position, the pressure of control fluid in the associated pressure chamber acting on said clutch toward its open position.