Abstract: The present invention provides a process for sweeping methane from a physical solvent used to remove carbon dioxide and hydrogen sulfide impurities from an impure methane stream. This process includes the steps of cocurrently mingling a mixture of physical solvent, methane, carbon dioxide and hydrogen sulfide with a flash gas to form a resulting gas and liquid mixture that has a higher concentration of carbon dioxide and a higher concentration of hydrogen sulfide than the liquid stream, and then flashing and separating the resulting stream at a pressure lower than the liquid feed pressure to yield a flash liquid that is further flashed at a pressure lower than the preceding flash pressure to provide the flash gas mingled with the feed liquid stream.