Syringe/conduit combination with a syringe part (1) and a conduit part (2). The parts have a male slip fitting (4) and a female slip fitting (5) for press fitted connection. The syringe part (1) has a hollow barrel (22) and a plunger (23) inserted into the barrel (22). The plunger (23) and the hollow barrel (22) have abutments (25, 27) defining a maximally inserted position of the plunger (23). The male slip fitting (4) fits in the female slip fitting (5) such that the male slip fitting (4) is at an axial distance of less than 0.1 mm from an internal end of the female slip fitting (5). The plunger (23) in its maximally inserted position is then at an axial distance from an opposite one of the slip fittings (5) that is equal to or less than the axial distance between the male slip fitting (4) and the internal end (9) of the female slip fitting (5).
