A minimal lubrication device including a lubricating fluid storing tank, conduit for supplying the lubricant pressurized to at least one modular element. The at least one modular element including a lubricating fluid conduit intercepted by flow regulator and compressed air conduit, such conduits fluidically connected to air and lubricant mixing element. The flow regulator including a shutter that can be at least partially housed in calibrated hole and movable between upper and lower stroke position ends. The calibrated hole in fluid communication, on one side, with pressurized lubricant delivery and, on the other side, with the mixing element. The shutter having at least one conical profile portion insertable in the calibrated hole. The conical profile portion has a surface groove facing a surface defining the calibrated hole at least when the shutter is in an intermediate position between the lower and upper stroke position ends.