A metering device for introducing a liquid additive into a stream of main liquid flow flowing in a pipe, the device comprising a reciprocating differential piston pump (3) for taking up the additive in a container and metering the additive, this pump comprising a first inlet (8) for receiving the main liquid flow that drives the pump, a second inlet (9) for taking up the additive and an outlet (10) for mixing the additive and the main liquid, the device comprising a first Venturi channel (11) arranged in the pipe, the pump (3) being connected in parallel with the first Venturi channel (11), the first inlet (8) of the pump being connected via a first line (12) to the inlet of the first Venturi channel while the outlet (10) of the pump is connected via a second line (13) to a throat (11c) of the first Venturi channel, wherein the device comprises:
- a means for varying the constriction (E) of the throat (11c) of the first Venturi channel,
- and a means (G) sensitive to the pressure drop in the pump (3), which means is able to control the means for constricting (E) the throat of the first Venturi channel to reduce a passage cross section when the pressure drop in the pump increases, and to increase the passage cross section when the pressure drop in the pump decreases.