A conduit pipe for conveying media, having a core pipe made of a copper alloy and a jacketing made of a plastic material from the group of the polyolefins having functional groups. The ratio between the thickness of the jacketing wall and the thickness of the core pipe wall ranges between 2:1 and 14:1, while the ratio between the thickness (D) of the core pipe wall and its inside diameter (ID) ranges between 0.01 and 0.05.