The invention relates to a multilayer tube comprising (from the inside to the outside of the tube): an optional layer (C1) consisting of at least one fluorinated polymer; a layer (C2) consisting of at least one radiation-grafted fluorinated polymer which is optionally mixed with at least one fluorinated polymer; an optional layer (C3) of adhesive binder; a layer (C4) consisting of at least one polyolefin or a mixture of at least one polyolefin with at least one functionalised polyolefin; a barrier layer (C5) consisting of a metal shield or comprising EVOH or a mixture based on EVOH, a PVDF or a PGA; and an optional layer (C6) consisting of at least one polyolefin.