A conveying unit includes a rotatable roller having a first through-hole between the inside and the outside of the roller. A cylindrical member inside the roller has an opening and defines an annular chamber between the member and the roller. An insert borne by the roller inserted in the first through-hole thereof and contacting an external surface of the cylindrical member has a second through-hole in communication with the outside of the roller and extending through the first through-hole and the annular chamber. The first through-hole of the opening is configured such that, when the roller rotates, the insert transits at the opening, temporarily placing the outside of the roller in fluid communication with the annular chamber via the second through-hole, so that a sheet outside the roller and at the first through-hole is pulled against the roller by aspirating means and is conveyed.