Abstract: A tube for use on a perforated dyeing spindle, for supporting for dyeing a package of yarn wound therearound, the tube having a longitudinal axis and comprising a plurality of flexible uprights spaced circumferentially around the axis, top and bottom base portions of the tube, each upright being joined at opposite ends to the base portions, respectively, and a plurality of rings joining the uprights in spaced planes perpendicular to the axis, at least two of the rings being incomplete and having, respectively, gaps at circumferentially staggered positions so as to leave one pair of adjacent uprights free to approach each other in one of the planes and a second pair of adjacent uprights free to approach each other in a second of the planes, thereby providing the tube with balanced and limited radial flexibility to accommodate yarn shrinkage, the spaced uprights, base portions, and rings cooperatively defining a plurality of dye openings through the tube.