An assembly comprises a vent tube 1 for inside a turbine shaft (2, fig 2) of a turbomachine, comprising a radially inner annular part 3 from which an annular centering part(s) 4 extends radially outwards. The centering part has a groove 5 and the assembly comprises a sealing member 14 with sealing part 15 mounted in the groove that abuts an inner surface of the turbine shaft. The sealing member comprises a protective part 16 covering an area(s) of the centering part situated upstream and/or downstream of the groove. The sealing member may comprise upstream and downstream protective parts. The protective part of the sealing member may comprise an upstream end and/or a downstream end comprising at least one hook 18 which engages in a recessed area 10 of the upstream end and/or in a recessed area. Preferably the protective part comprises a cylindrical part 17 connecting the sealing part to the end equipped with the hook. The sealing part may have an annular bead 21 projecting radially outwards from the cylindrical part. The hook may be annular and have a frustoconical part capable of bearing against a frustoconical surface of the recessed area. A turbomachine is also claimed.
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