The invention relates to a staged oxyfuel combustion method in which a combustion chamber is injected with a jet of fuel inside a jet of primary oxygen gas which is introduced through a hole having a diameter D and a secondary oxygen gas which is introduced through a hole having a diameter d, which is positioned at a distance l from the hole for the primary oxygen gas. According to the invention, the jet of fuel emerges at a distance r set back from the wall of the combustion chamber. The oxygen-rich oxygen gas is pre-heated to a temperature of at least 300 DEG C. The r/D ratio is between 5 and 20 or between 0.75 and 3 and the l/d ratio is at least 2.