A fuel metering unit in a turbomachine is connected between a high pressure pump which draws fuel from a fuel tank and a plurality of fuel injectors disposed in a combustion chamber of the turbomachine, the unit comprises a meter which receives the fuel for injection from a regulator valve at a pressure P1 and delivers it at a pressure P2 to said plurality of injectors via a stop valve, said regulator valve serving to recirculate fuel back to said high pressure pump as a function of the pressure difference between pressures taken directly from the terminals of the meter and injected into two end inlets of the regulator valve.