There is provided a pulsatile blood pump (10) for implantation into a patient. The pulsatile blood pump comprises a substantially tubular body (12) a flexible membrane (14) and a port (16). The substantially tubular body is for replacing a resected portion of a blood vessel of the patient. The substantially tubular body has first and second ends with a blood passageway extending therebetween for the passage of blood. The flexible membrane is attached to the tubular body so as to form a fluid chamber between the flexible membrane and an inner surface of the tubular body. The flexible membrane thereby separates the fluid chamber from the blood passageway. The tubular body comprises the port. The port is arranged to allow fluid to flow into and out of the fluid chamber such that the volume of the fluid chamber increases and the volume of the blood passageway decreases when fluid flows into the fluid chamber via the port, and such that the volume of the fluid chamber decreases and the volume of the blood passageway increases when fluid flows out of the fluid chamber via the port. The blood pump is thereby enabled to pump blood along the blood passageway.