The invention relates to a multilayer pipe which comprises (in the following order, from the inside of the pipe outwards): optionally, a layer C1 of a fluoropolymer; a layer C2 of a fluoropolymer onto which at least one unsaturated monomer has been radiation-grafted, optionally blended with a fluoropolymer; optionally, an adhesion tie layer C3, this layer C3 being directly attached to the layer C2 containing the radiation-grafted fluoropolymer; a layer C4 of a polyolefin optionally blended with a functionalized polyolefin, directly attached to the optional layer C3 or else to the layer C2; optionally, a barrier layer C5; and optionally, a layer C6 of a polyolefin.