Disclosed is a device for reducing the combustion instabilities of a combustion engine, this device including: an intake circuit admitting oxidizing air to the engine, a valve positioned on the engine oxidizing air intake circuit and designed to regulate the flow rate of oxidant gas admitted to the engine, an exhaust gas recirculation circuit connected to the intake circuit upstream of the oxidizing air flow rate regulating valve. The device is arranged in such a way that, at least when an injection of fuel to the engine is cut off, a minimum opening of the valve is assured so as to eliminate recirculated gases from the intake circuit.