Abstract: The present invention provides a machine for dyeing fabrics wound up into cords using the overflow or jet system, comprising two or more overflow or jet units arranged in series in a single tank, in which the speed of the various reels of each overflow or jet device is synchronised with respect to a driving reel by affixing permanent magnets to the fabric and appropriate sensors on the machine so that possible slipping of the fabric can be corrected by a microprocessor drive control system.