A centrifugal separator for cleaning crankcase gas, containing oil, from an internal combustion engine, includes a stationary casing defining a separation space and including a first end portion, an opposite second end portion and an inner wall surface facing the separation space. The separator also includes an inlet channel for the gas to be cleaned, a gas outlet channel for the cleaned gas and an oil outlet for the separated the oil. A centrifuge rotor is provided in the separation space and includes a spindle and a plurality of separation discs carried by the spindle. The centrifuge rotor is rotated to create a rotating gas volume. An oil supply device supplies such a quantity of oil to the separation space that a flowing oil film is created on the inner wall surface during operation of the centrifugal separator.