The total volume of fluid in a syringe may not be equal to the total volume of fluid that can be pressed out of the syringe: a dead volume may be left in an arrangement of the syringe and a needle hub provided With the syringe. To reduce the dead volume, a needle hub and syringe arrangement is provided Which are shaped complementary to each other. More specifically, a shape of an end-plane of a piston comprised by the syringe is complementary to a shape of a plane in Which an opening of a cannula bore of the needle hub is provided. The shapes are such that the volume inside the syringe once occupied by the fluid may be occupied by the piston after fully pressing down on the piston, or only a substantially small volume of fluid may be left between the cannula opening and the syringe.