Slabbing machine for removing material M wound around a reel R, comprising a frame; a structure for holding the material M wound around the reel R; a beam connected to the frame and displaceable along the frame in a radial direction y; a blade holder connected to the beam and displaceable along the beam in a longitudinal direction x perpendicular to the radial direction y; a blade mounted on the blade holder for cutting the material M down to a cutting plane p perpendicular to the radial direction y and located at the farthest end of the blade in radial direction y; wherein one or several air outlets are mounted on the blade holder 1 and directed towards the cutting plane p for blowing air towards the cutting plane p.