Fluid dispensing device intended to be connected to a work zone in order to be able to inject an incoming fluid into said work zone, and extract an outgoing fluid from said work zone, said fluid dispensing device comprising, in succession along a central axis: i) a first connection stage, which is provided with an intake chamber, intended to receive the incoming fluid which arrives at the dispensing device intended for the work zone, and an evacuation chamber, intended to collect the outgoing fluid originating from the work zone to allow said outgoing fluid to leave the dispensing device, said intake and evacuation chambers coexisting within a first axial range which is common to said intake and evacuation chambers (105, 106), while being separated from one another by a first partitioning structure, ii) then a second dispensing stage, which comprises, on the one hand, a plurality of injection cells which all communicate with the intake chamber and which are intended to be coupled respectively to several distinct injection points provided in the work zone, and, on the other hand, a plurality of extraction cells which all communicate with the evacuation chamber and which are intended to be coupled respectively to several distinct extraction points provided in the work zone, the injection cells and the extraction cells coexisting in a second axial range which is common to said injection and extraction cells, and said injection cells and extraction cells being distributed alternately with one another about the central axis, in an annular zone called "implantation band" which runs along the circumference of the second stage and within which said cells (111, 112) are separated from one another by a second partitioning structure which subdivides said implantation band into a succession of as many adjacent angular segments (A111, A112), which follow one another in azimuth about the central axis and which thus form an alternation of injection angular segments, each of which is occupied by an injection cell and situated facing one or more of the injection points of the work zone, and of extraction angular segments, each of which is occupied by an extraction cell and situated facing one or more of the extraction points of the work zone. i) a first connection stage, which is provided with an intake chamber, intended to receive the incoming fluid which arrives at the dispensing device intended for the work zone, and an evacuation chamber, intended to collect the outgoing fluid originating from the work zone to allow said outgoing fluid to leave the dispensing device, said intake and evacuation chambers coexisting within a first axial range which is common to said intake and evacuation chambers (105, 106), while being separated from one another by a first partitioning structure, ii) then a second dispensing stage, which comprises, on the one hand, a plurality of injection cells which all communicate with the intake chamber and which are intended to be coupled respectively to several distinct injection points provided in the work zone, and, on the other hand, a plurality of extraction cells which all communicate with the evacuation chamber and which are intended to be coupled respectively to several distinct extraction points provided in the work zone, the injection cells and the extraction cells coexisting in a second axial range which is common to said injection and extraction cells, and said injection cells and extraction cells being distributed alternately with one another about the central axis, in an annular zone called "implantation band" which runs along the circumference of the second stage and within which said cells (111, 112) are separated from one another by a second partitioning structure which subdivides said implantation band into a succession of as many adjacent angular segments (A111, A112), which follow one another in azimuth about the central axis and which thus form an alternation of injection angular segments, each of which is occupied by an injection cell and situated facing one or more of the injection points of the work zone, and of extraction angular segments, each of which is occupied by an extraction cell and situated facing one or more of the extraction points of the work zone.