A conveyor includes a plate with a closed-loop track along which vials are driven in a continuous manner in holders arranged so as to be in free contact with each other in order to form a continuous stream along the track. Each holder includes a horizontal platen (72) to which is connected a plurality of vertical blades (72) forming a ring and capable of elastically moving away from the rotational axis of the platen, the inner surfaces thereof being intended for bearing against the periphery of a vial.