A motor vehicle cooling fluid flow pipe, such as an engine cooling fluid pipe, characterized in that the wall of the pipe is constituted by a single layer made of a polymer material comprising a mixture of at least two polymer materials of different natures, one of which, referred to as a first material, being a polyolefin, and the other of which, referred to as a second material, being a vulcanized polyolefin-based thermoplastic polymer elastomer (TPV), and in that the polymer material has a polyolefin content lying in the range 30% to 70% by weight.