Abstract: A pallet for transporting a textile cop or tube in a textile machine transport system accommodates tubes of differing inside diameters by providing at least three independently radially positionable support elements spaced circumferentially about a tube-support spindle and extending parallel to the longitudinal axis of the spindle and at least one resilient element acting radially outwardly on the support elements. The support elements are formed as fins that extend through slots in the spindle and are acted upon by torsion bars springs which spring-load adjacent fins in alternation. When textile yarn tubes are mounted on the spindles, the retaining force of the spindle increases steadily and attains its maximum once the tube is fully mounted.