A fluid flow regulator (1) of the passive type is disclosed which has a fluid inlet adapted to be connected to a fluid reservoir and a fluid outlet (13) adapted to be connected to a patients body. The regulator comprises a rigid substrate (2) and a resilient membrane (3) tightly linked together so as to define a cavity (6) therebetween which is connected to the fluid outlet while the membrane has a first surface (12) opposite the cavity which is connected to the fluid inlet. The membrane has a plurality of through holes (15) contiguous with the cavity, to define a pathway for a fluid from the fluid inlet to the fluid outlet, and is flexible so as to be able to come into contact with the substrate as a fluid applies a sufficient pressure on the first surface. The through holes are arranged such that, when the fluid pressure increases, they close one after the other to increase the regulator fluidic resistance so that a fluid flow rate would be substantially constant as a function of the pressure applied on the first surface within a predefined pressure range.
