Provided is a rewinding machine including a winding zone wherein a continuous strip is wound around a core; a movement unit of the continuous strip defining a sliding surface for the continuous strip; a support unit defining a support surface for the core; the support surface is opposite and spaced from the sliding surface so as to define a sliding channel, configured to guide the core in the winding zone; a contrast unit defining a contrast surface; and a tearing tooth configured to press the continuous strip against the contrast surface causing the tearing of the continuous strip; said sliding surface being interposed between the support surface and the contrast surface.