The invention concerns an assembly (1) for dispensing a viscous fluid product (P), in particular a paste or a gel, comprising a container (2) with a variable volume containing the product (P) to be dispensed, the dispensing being carried out by means of a pump (3) without recirculation which includes a pump body (13) communicating freely with the container (2) inside and a member (15, 115, 215, 315) for discharging the product, said dispensing being performed by a dispensing head (4, 104, 204, 304) comprising dispensing passages (24, 124, 224, 324), opening outside and supplied by the pump (3) discharge member. The invention is characterised in that the dispensing head (4, 104, 204, 304) comprises, firstly, a plate (18, 118, 218, 318), equipped with assembling means (20, 120, 220, 320) on the pump discharge member (15, 115, 215, 315) and an opening (25, 125, 225, 325) perpendicular to said pump discharge member, and secondly, an applicator (19, 119, 219, 319), which is integral with the plate (18, 118, 218, 318) and arranged on the side of the plate where the container (2) is not located and finally provided with orifices (23, 123, 223, 323) opening outwards, the dispensing passages (24, 124, 224, 324) which link the pump discharge member (15, 115, 215, 315) to the orifices (23, 123, 223, 323) of the applicator (19, 119, 219, 319) being arranged between the plate (18, 118, 218, 318) and said applicator (19, 119, 219, 319).