A cuff for use in nerve stimulation includes a sheet of elastomer having at least one electrode and being pre-stressed so as to allow its spiral self-winding to form a cuff around the nerve. The sheet is delimited by a first width defining an outer edge of the cuff after winding, a second width defining an opposite inner edge, a first length and a second opposite length. The first width is at both ends connected to the two lengths by a respective bevel edge forming an oblique angle relative to the direction of greatest dimension of the sheet.