A needle (1, 100, 110) for precision filling of dosage containers, such as vials, ampoules etc. is provided. The needle ideally comprises an elongate plastics body (2) having a through channel (5) extending between inlet (3) and outlet (4) openings. A tip portion (7b) at the outlet opening (4) has a chamfer (8) tapering towards the outlet opening (4) and an end surface (9) around the opening so that the tip portion (7b) is frusto-conical. The surface area of the end surface (9) is sufficiently smaller than the area of the cross-section of the needle body (2) so that in use the needle (1) is capable of providing for formation of smaller droplets of liquid at the outlet (4) compared to needles without such body thickness reduction at the time when the liquid flow through the needle is shut off. The end surface (9) may be so narrow as to take the form of a sharp rim.