The invention concerns a flexible process for purifying a solvent which inhibits the formation of hydrates during gas processing, in particular monoethylene glycol (MEG), said solvent having a boiling point which is higher than that of water and, at least at one point in time, being mixed with water and salts, the process operating in a different manner with the same facility as a function of the quantity of salts in the MEG to be treated.The process operates in accordance with a phase known as reclaiming (separation of salts under vacuum followed by vacuum distillation) when the salts content exceeds the precipitation threshold and if not, the process operates in a regeneration phase (absence of separation of salts and no operation under vacuum).Advantageously, the change is made under the control of means for testing the salts.