A fluid spray head comprising: • a body forming a connection sleeve that is adapted to receive a valve rod of a dispenser member, such as a pump or a valve, the connection sleeve being connected via a feed duct, to a housing in which there extends a core that defines a core side wall and a core front wall, • a nozzle (2; 2') engaged in the housing around the core, the nozzle (2; 2') forming a spray orifice through which the fluid leaves the spray head in the form of a spray, the spray orifice presenting a chamber outlet diameter D3 and a chamber outlet section S3, • the core and the nozzle (2; 2') defining between them, from upstream to downstream: • a plurality of connection passages in fluid communication with the feed duct, • a plurality of swirl channels respectively connected to the connection passages, each swirl channel presenting a channel length L1, a channel inlet having a channel inlet section SO and a channel outlet having a channel outlet section S1, • a swirl chamber into which the swirl channels open out, the swirl chamber defining a longitudinal axis of revolution X and presenting an axial length L2, a chamber inlet diameter D2 and a chamber inlet section S2 where the swirl channels open out, the spray orifice forming an outlet for the swirl chamber, the spray head being characterized in that L1 ≥ 110% of D2, and preferably L1 is equal to approximately 150% of D2. • a body forming a connection sleeve that is adapted to receive a valve rod of a dispenser member, such as a pump or a valve, the connection sleeve being connected via a feed duct, to a housing in which there extends a core that defines a core side wall and a core front wall, • a nozzle (2; 2') engaged in the housing around the core, the nozzle (2; 2') forming a spray orifice through which the fluid leaves the spray head in the form of a spray, the spray orifice presenting a chamber outlet diameter D3 and a chamber outlet section S3, • the core and the nozzle (2; 2') defining between them, from upstream to downstream: • a plurality of connection passages in fluid communication with the feed duct, • a plurality of swirl channels respectively connected to the connection passages, each swirl channel presenting a channel length L1, a channel inlet having a channel inlet section SO and a channel outlet having a channel outlet section S1, • a swirl chamber into which the swirl channels open out, the swirl chamber defining a longitudinal axis of revolution X and presenting an axial length L2, a chamber inlet diameter D2 and a chamber inlet section S2 where the swirl channels open out, the spray orifice forming an outlet for the swirl chamber, • a plurality of connection passages in fluid communication with the feed duct, • a plurality of swirl channels respectively connected to the connection passages, each swirl channel presenting a channel length L1, a channel inlet having a channel inlet section SO and a channel outlet having a channel outlet section S1, • a swirl chamber into which the swirl channels open out, the swirl chamber defining a longitudinal axis of revolution X and presenting an axial length L2, a chamber inlet diameter D2 and a chamber inlet section S2 where the swirl channels open out, the spray orifice forming an outlet for the swirl chamber,