An axial-flow blood pump has a rotatable impeller assembly rotatable about an axis and itself having a radially projecting blade and permanent magnets, A stationary stator assembly has stator windings interacting with the permanent magnets and a bearing system supporting the rotatable impeller assembly for rotation about the axis relative to the stator assembly. A stent implantable into a blood vessel is connected to ends of supports for coaxially mounting the stator assembly carrying the impeller assembly in the stent.