A high-pressure fuel pump, for example, a fuel system (10) for an internal combustion engine is provided with a pump housing and an attached connection pipe which is mounted on the curved outer surface of the pump housing and through which a fluid can flow into the pump housing or out of the pump housing, and is characterized in that the attached connecting pipe has a plurality of parts and has afirst sleeve-shaped part, which centers the attached connecting pipe in a bore of the pump housing, and a second sleeve-shaped part which fixes the attached connecting pipe on the curved outer surfaceof the pump housing.