A fluid dispenser unit comprising: a pump (50) comprising a pump body (52) and at least a first piston (51) that slides in leaktight manner in said pump body (52) between a non-dispensing position and a dispensing position; and a spray head (10) that is mounted on said pump (50) and that is movable manually between a rest position, in which said first piston (51) is in a non-dispensing position, and an actuated position, in which said first piston (51) is moved towards its dispensing position, said spray head (10) including a body (11) that defines an expulsion channel (12) and that is provided with a dispenser orifice (1), said body (11) of the spray head including, upstream from said dispenser orifice (1), a spray profile that is adapted to spray the fluid while it is being dispensed, said spray head (10) including a rigid insert (30) that is disposed upstream from said spray profile and having an end surface that forms the end of said spray profile at least in part; said rigid insert (30) being secured to said first piston (51), said first piston (51) being stationary relative to said spray head (10).