Abstract: A cylindrical or conical bobbin (1) resiliently compressible both in axial and in radial direction and supporting textile strands to be subjected to a heat and/or wet treatment has an outer grating (3), the outer side of which forms the curved surface of the bobbin (1), the curved surface serving as a supporting surface for the strands. The bobbin (1) includes means (2, 2', 2", 3, 4, 5) which retain the grating (3) when the bobbin (1) is not compressed more than a predetermined length in the axial direction in such a manner that the outer surface is positioned in a radial outer position, and which release the grating (3) when the bobbin (1) is axially compressed more than a predetermined length in such a manner that the outer surface is inwardly displaceable into a radial inner position, and which prevent an additional inward displacement of the outer surface.