A method of purifying a hydrate formation inhibitor solvent, said solvent having a higher boiling point than water and being, at one time at least, in admixture with water and salts, the method comprising: - optionally, pretreating said solvent to be treated, said pretreatment separating at least partly the hydrocarbons, the condensates and the gases, and said pretreatment optionally comprising adding a chemical neutralizing agent, - a reclaiming step carried out when the salt content of said solvent to be treated, optionally pretreated, reaches the precipitation threshold in the treated mixture, - said step comprising vacuum flashing, operating at a pressure below atmospheric pressure and at a temperature below the solvent degradation temperature, leading to a solvent stream containing the salts and a vaporized solvent and water stream, said solvent and water stream is vacuum distilled, at a pressure substantially equal to that prevailing in said vacuum flash step so as to separate the water and to recover a purified solvent stream, the salts are separated from said salt-containing solvent stream, then the solvent obtained is recycled to the flash step, - when said salt content in the treated mixture is below the precipitation threshold, the reclaiming step is stopped and a step referred to as regeneration step is carried out, - said regeneration step comprising vacuum removal, the solvent to be treated, optionally pretreated, undergoing a flash step, operating at a pressure equal to or greater than atmospheric pressure and at a temperature below the solvent degradation temperature, leading to a first purified solvent stream and a solvent and water stream, said solvent and water stream is distilled at a pressure substantially equal to that prevailing in said flash step, the water is separated and a second purified solvent stream is obtained, said second stream being mixed with said first stream and/or recycled to said flash step. - optionally, pretreating said solvent to be treated, said pretreatment separating at least partly the hydrocarbons, the condensates and the gases, and said pretreatment optionally comprising adding a chemical neutralizing agent, - a reclaiming step carried out when the salt content of said solvent to be treated, optionally pretreated, reaches the precipitation threshold in the treated mixture, - said step comprising vacuum flashing, operating at a pressure below atmospheric pressure and at a temperature below the solvent degradation temperature, leading to a solvent stream containing the salts and a vaporized solvent and water stream, said solvent and water stream is vacuum distilled, at a pressure substantially equal to that prevailing in said vacuum flash step so as to separate the water and to recover a purified solvent stream, the salts are separated from said salt-containing solvent stream, then the solvent obtained is recycled to the flash step, - when said salt content in the treated mixture is below the precipitation threshold, the reclaiming step is stopped and a step referred to as regeneration step is carried out, - said regeneration step comprising vacuum removal, the solvent to be treated, optionally pretreated, undergoing a flash step, operating at a pressure equal to or greater than atmospheric pressure and at a temperature below the solvent degradation temperature, leading to a first purified solvent stream and a solvent and water stream, said solvent and water stream is distilled at a pressure substantially equal to that prevailing in said flash step, the water is separated and a second purified solvent stream is obtained, said second stream being mixed with said first stream and/or recycled to said flash step.