A bearing assembly comprises a rolling element bearing having an inner ring, an outer ring and a set of rolling elements arranged in a bearing cavity between the inner and outer rings. A first grease is provided in the bearing cavity, which has a first thermal bleed rate at a specific reference temperature. The bearing assembly further comprises a grease cartridge, arranged at an axial side of the bearing cavity, whereby the cartridge has axially extending passageways that open into the bearing cavity, and whereby at least some of the passageways are filled with a second grease. The second grease has a second thermal bleed rate at the specific reference temperature which is lower than that of the first grease.