Abstract: The invention relates to a process and an apparatus for continuously shrinking a fibrous sheet containing heat-shrinkable fibers by means of a hot liquid wherein a sheet is driven by a continuous, stable film formed on the emerged surface of a series of aligned cylinders with parallel axes rotated in the direction of the advance of the sheet and partially immersed in a hot liquid without the sheet being in contact with the cylinders. The invention makes it possible to shrink uniformly and at a high speed heat-shrinkable fibers obtained from an aqueous dispersion thereof by a paper-making method.