The present invention relates to a PVC-free tube (100) for medical purposes comprising three layers (101, 102, 103) arranged one above another, wherein each of these layers contains a polyolefin, and wherein the inner layer (102) also contains at least 60% of a thermoplastic elastomer. The present invention further relates to a tube system comprising several tubes according to the invention, which are connected via connectors. The tube according to the invention makes it possible for the conveyance rate loss, for example in an extracorporeal blood circulation, to be less than 15%, preferably less than 10%.
