A package for dispensing a product and a dispensing head for such a package are provided. In an illustrated form, the dispensing head has an axis X, designed to actuate a dispensing element mounted on a receptacle to dispense a product contained in the receptacle. A dispensing conduit is capable of communicating with the product inside the receptacle and has at least two passages of different cross-sections. In a preferred form, the conduit is molded as a single piece with the arrangement attaching the head to the receptacle integral therewith via a deformable connection. An actuator arrangement is provided to actuate the dispensing element and to cause the conduit to communicate with the inside of the receptacle, with a dispensing orifice formed at the extremity of a channel preferably having a length greater than the diameter of the dispensing orifice. The actuating arrangement is movable relative to the conduit between at least two positions, a first position in which the dispensing orifice communicates with one of the passages, and a second position in which the dispensing orifice communicates with the other passage.