Machine for recycling tyres by recovering the tyre tread rubber using waterjets. The machine comprises a loading unit for loading a tread, a processing unit, the processing unit comprising a framework comprising a preprocessing zone, a processing zone and a postprocessing design. The preprocessing zone drives a cut tread towards the processing zone. The processing zone comprises a processing module designed to direct a waterjet onto the recovered tread. The preprocessing zone comprises motorized guide rollers and presence sensors arranged in such a way as to allow a second tread to catch up with a first tread in such a way as to reduce, to the point of closing up, the space between two treads.