a dispenser of individual sheets by unwinding from the center of a product in roll form , without a central tube , having a plurality of successive sheets forming a coiled strip , a free end of which projects toward the outside of the roll from the center , of the type including a fixed dispensing nozzle which delimits a passage of frustoconical general shape and which includes a generally vertically oriented cutout to make it easier to introduce the free end of the strip of a roll into the passage , the width of the cutout in the vicinity of the upper orifice of the passage being markedly greater than its width in line with the lower outlet orifice of the nozzle .