A method for manufacturing an austenitic stainless steel workpiece including the following successive steps: 1) providing a powder and sintering the powder to form a sintered alloy with an austenitic structure; the alloy having a nitrogen content greater than or equal to 0.1% by weight, 2) treating the sintered alloy to transform the austenitic structure into a ferritic structure or ferrite+ austenite two-phase structure on a surface layer of the alloy, 3) treating the sintered alloy to transform the ferritic or ferrite+ austenite two-phase structure obtained in step 2) into an austenitic structure and, after cooling, forming the workpiece which, on the layer subjected to the transformations in steps 2) and 3), has a density higher than that of the core of the workpiece. The present description also relates to the workpiece obtained by the method which has a very dense surface layer (≥99%).