A facility for producing oxygen by distilling air, comprising at least one system of columns (15), at least one exchange line (13), at least one compression means driven by a steam turbine and/or by an electric motor, the compression means having a first and a second outlet, one first purification unit (5), one second purification unit (7), the compression means being designed to be supplied with air at atmospheric pressure and to produce, from the first outlet, a first pressurized air flow at a first pressure and from the second outlet a second pressurized air flow at a second pressure, the second pressurized air flow being at a pressure that is higher, by at least 0.5 bar, possibly by at least 5 bar, potentially by at least 10 bar, even by at least 25 bar, than the pressure of the first pressurized air flow, a first pipe for connecting the first outlet to the first purification unit, a second pipe for connecting the second outlet to the second purification unit, a third pipe (11) for connecting the first purification unit to the exchange line, a fourth pipe (9) for connecting the second purification unit to the exchange line, no means of boosting the air pressure being connected downstream of the second purification unit, a fifth pipe connecting the exchange line to one column of the system of columns, a sixth pipe for connecting the exchange line to one column of the system of columns, a pipe (17) for tapping off an oxygen-rich liquid from the system of columns and for sending to a vaporizer (25), possibly consisting of the exchange line, means for sending at least part of the purified second flow to the vaporizer where it condenses and in which facility there is no means of compressing air between the first outlet and the first purification unit and there is no means of compressing air between the second outlet and the exchange line, or potentially the system of columns.