A fuel pump, for an internal combustion engine, has a housing accommodating a pump and a motor. The motor is arranged to drive the pump so as to pump fuel through the housing. The motor has a wound stator having a plurality of inwardly directed teeth about which a stator winding is wound, and a radially outer surface in contact with an inner surface of the housing. One or more pathways are formed between the inner surface of the housing and the outer surface of the stator, for the flow of fuel there through. Each pathway is formed by an axially extending recess formed in the outer surface of the stator and aligned with a selected tooth of the stator.