A valve for dispensing a fluid product, comprising a valve body (10) extending along a longitudinal axis (A) between a first axial end (15) and a second axial end (16), said valve body (10) containing a metering chamber (20), and a valve part (30) sliding axially in said valve body (10) between a rest position and a dispensing position in order to selectively dispense the contents of said metering chamber (20), said metering chamber (20), in the rest position of the valve part (30), being connected to a fluid product reservoir (1) containing the product to be dispensed, so as to allow the metering chamber (20) to be filled by gravity when, in the rest position of the valve part (30), the valve is in an inverted position with the metering chamber (20) disposed below the reservoir, and in order to allow said metering chamber (2) to be emptied by gravity when, in the rest position of the valve part (30), the valve is in an upright position with the metering chamber (20) disposed above the reservoir, said valve body (10) comprising at least one first hole (100) and at least one second hole (110; 111) for allowing said metering chamber (20) to be filled and emptied, said at least one first hole (100) being offset axially along said longitudinal axis (A) with respect to said at least one second hole (110; 111).