A device for the metered administration of a fluid drug. The device has a container having a piston for administering the fluid drug through an outlet of the container, a catheter connected to the outlet of the container, the catheter having a front end facing away from the outlet and being connected to an injection needle, and a valve positioned between the outlet and the injection needle in a flow cross section of the fluid drug, the valve having an inlet end adjacent the outlet and an outlet end adjacent the injection needle, wherein the valve permits flow of the fluid drug through the valve from the outlet to the injection needle when a fluid pressure exerted on the inlet end of the valve exceeds a pressure on the inlet end caused by the dead weight of the fluid drug.