A module, intended to form an individual unit of an electrolysis or co-electrolysis reactor of SOEC type, comprising: - an individual electrochemical cell formed of a cathode (2.1), of an anode (4.1) and of an electrolyte (3.1) inserted between the cathode and the anode, - a first (5.1) and a second (5.2) device each forming an electrical and fluid interconnector, each consisting of a component made of electron-conducting and gastight material, the first and second interconnectors being arranged on either side of the individual cell; the second interconnector (5.2) being pierced with a conduit for recovering the hydrogen produced, which opens out at the periphery of the cell on the cathode side; the second interconnector (5.2) being pierced with a conduit for recovering the oxygen produced, which opens out at the periphery of the cell on the anode (4.1) side so as to carry out homogeneous distribution of the oxygen produced to the recovery conduit; - a first electrically insulating seal arranged at the periphery of the individual cell and bearing both against the first interconnector and against the second interconnector; - a second seal, arranged at the periphery of the anode of the individual cell and bearing both against the second interconnector and against the electrolyte; the second seal being based on glass and/or glass-ceramic; - mechanical means for assembling the interconnectors with one another, suitable for clamping the first seal by compression; - at least one electrical contact (9, 10) element arranged between one of the electrodes and one of the interconnectors; - a compression piston comprising a component made of electron-conducting and gastight material, the piston being mounted so as to slide inside the first interconnector, the piston being suitable for compressing the electrical contact element(s); the compressive force of the piston being adjusted as the pressure of the steam and hydrogen produced within the module increases; the compression piston being pierced with a conduit for supplying steam, which opens out on the cell on the cathode (2.1) side so as to carry out homogeneous distribution respectively of the steam supplied and the hydrogen produced from the supply conduit to the recovery conduit, and - a sealing bellows, assembled by one end thereof to the piston and by the other end thereof to the first interconnector; the bellows being suitable both for containing the pressure of the steam and the hydrogen produced inside the module and for deforming along the direction of displacement of the piston. - an individual electrochemical cell formed of a cathode (2.1), of an anode (4.1) and of an electrolyte (3.1) inserted between the cathode and the anode, - a first (5.1) and a second (5.2) device each forming an electrical and fluid interconnector, each consisting of a component made of electron-conducting and gastight material, the first and second interconnectors being arranged on either side of the individual cell; the second interconnector (5.2) being pierced with a conduit for recovering the hydrogen produced, which opens out at the periphery of the cell on the cathode side; the second interconnector (5.2) being pierced with a conduit for recovering the oxygen produced, which opens out at the periphery of the cell on the anode (4.1) side so as to carry out homogeneous distribution of the oxygen produced to the recovery conduit; - a first electrically insulating seal arranged at the periphery of the individual cell and bearing both against the first interconnector and against the second interconnector; - a second seal, arranged at the periphery of the anode of the individual cell and bearing both against the second interconnector and against the electrolyte; the second seal being based on glass and/or glass-ceramic; - mechanical means for assembling the interconnectors with one another, suitable for clamping the first seal by compression; - at least one electrical contact (9, 10) element arranged between one of the electrodes and one of the interconnectors; - a compression piston comprising a component made of electron-conducting and gastight material, the piston being mounted so as to slide inside the first interconnector, the piston being suitable for compressing the electrical contact element(s); the compressive force of the piston being adjusted as the pressure of the steam and hydrogen produced within the module increases; the compression piston being pierced with a conduit for supplying steam, which opens out on the cell on the cathode (2.1) side so as to carry out homogeneous distribution respectively of the steam supplied and the hydrogen produced from the supply conduit to the recovery conduit, and - a sealing bellows, assembled by one end thereof to the piston and by the other end thereof to the first interconnector; the bellows being suitable both for containing the pressure of the steam and the hydrogen produced inside the module and for deforming along the direction of displacement of the piston.