Suction roller structure for the pneumatic transport of sheets inside an interfolding unit, comprising a suction source, an external roller (3) rotating with respect to the cylinder (1) and provided with longitudinal rows of bores (4) angularly spaced and selectively communicating with said internal cavity (2) during the angular rotation of the roller (3), a distribution of pneumatic valves (5) that are normally closed, inserted between said internal cavity (2) and at least one bore (4), cam means (6) operatively associated with the rotation of the roller (3) and arranged to open one or more of said valves (5) at one or more angular positions taken by the roller (3).