A vacuum pump (50) comprises a casing and a rotor located in the casing, the rotor comprising a shaft (52) supported by a bearing arrangement (64, 66) for rotation relative to the casing. A lubricant reservoir (82) is provided for storing lubricant for lubricating a rolling bearing (64) of the bearing arrangement, and a brush (84) comprising a set of bristles (86) held by the reservoir transfers lubricant from the reservoir to the rotor.