An intravascular rotary blood pump possesses a catheter (10), a pumping device (50) disposed distally of the catheter and having at its distal end a flexible flow cannula (53) through which blood is either sucked or discharged by the pumping device (50) during operation of the blood pump, and at least one pressure sensor (27, 28A, 30) having at least one optical fiber (28A) which is laid along the flow cannula (53). The optical fiber (28A) and, where applicable, a sliding tube (27) in which the optical fiber (28A) is laid extend along a neutral fiber of the flow cannula (53).