The invention concerns a method for a lean gas combustion using at least one burner comprising a combustion nozzle on a central axis (x), said method consisting in: creating a mixture of fuel gas and combustion air rotating about the central axis. The method is characterized in that it includes the following steps which consist in: ejecting in front of the combustion nozzle a flow of non-flammable premix containing a mixture of premix air and fuel gas, a complementary flow so as to achieve a non-flammability threshold of the mixture in front of the combustion nozzle, the flow being ejected at the center of the premix flow via a central complementary flow and/or about the premix flow via a peripheral complementary flow. The invention also concerns a burner configured to implement the method and a combustion installation using same.