Method of decarbonating a hydrocarbon gas, a natural gas for example, by washing with a solvent.Said gas is contacted with an absorbent solution so as to obtain a CO2-depleted gas and a CO2-laden absorbent solution. The CO2-laden absorbent solution is then heated and expanded at a predetermined pressure and temperature so as to release a hydrocarbon-containing gaseous fraction and to obtain a hydrocarbon-depleted absorbent solution, said pressure and temperature being so selected that said gaseous fraction comprises at least 50% of the hydrocarbons contained in said CO2-laden absorbent solution and at most 35% of the CO2 contained in said CO2-laden absorbent solution. Finally, the hydrocarbon-depleted absorbent solution is thermally regenerated so as to release a CO2-rich gaseous effluent and to obtain a regenerated absorbent solution.