A cooling device for a vacuum sizing arrangement for sizing especially extruded plastic pipes with a sizing sleeve, which is matched to the diameter of the extruded pipe and has openings provided for the application of the vacuum and/or of the cooling water, and injection nozzles which are arranged downstream of said sizing sleeve in a cylindrical chamber which centrally surrounds the extruded pipe, supply cooling water to the extruded pipe and are disposed on axially parallel pipes fed with cooling water, is to be improved to the effect that changes to the position of the injection nozzles can be carried out quickly and with the minimum working effort. For this purpose, it is proposed that the pipes fed with cooling water are supported by connecting rods, which can be mounted pivotably in a parallel manner so as to be adjustable in radial planes, and that at least one respective connecting rod is designed as a cooling water-carrying pipe that is pivoted on both sides.
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