A fluid dispenser nozzle comprising: a rigid support; a fluid passageway; and an annular sealing element that is made of elastomer, that surrounds the rigid support, and that is provided with a lip adapted to close off the passageway so long as the fluid is not arriving under pressure from said passageway. The fluid dispenser nozzle being wherein the rigid support comprises a side wall which internally defines the passageway, the side wall extending along a central axis, and wherein the rigid support further comprises an end wall which closes off the fluid passageway at the second end of the side wall, said end wall being provided with at least one hole that is covered by the lip of the sealing element.