A process for refining a metal bath in a converter by oxygen blowing, particularly a molten metal liquid bath containing cold, solid substances, notably of scrap. Oxygen is distributed over the surface of the bath, so that there will be an after-combustion of CO released in the course of decarbonization. The thickness and consistency of a slag layer formed over the bath is actively regulated by injecting a rising inert gas through the bottom of the bath. The flow of rising gas may be regulated depending upon the oxygen content in the fumes of the converter, or upon the intensity of emission through the top of an oxygen blowing lance.