Abstract: A pallet transport system for a textile cheese winding machine includes a cop delivery and storage track for supplying cops to be rewound, an empty tube return track, and a plurality of transport tracks each extending through one winding head of the bobbin winder transversely between the supply and return tracks. The entrance region of each transverse transport track is closable by selectively operable blocking mechanism disposed in operation to permit empty pallets to enter the transverse transport track while pallets equipped with cops are shunted. In this manner, the transverse transport tracks serve as a storage device for empty pallets which provides the advantage that, at the completion of a batch, the time needed by the bobbin winder to properly end the batch is shortened, and hence the machine's efficiency is increased.