Multilayer tube for medical purposes, free of PVC and with improved security of peeling, comprises at least 3 layers: a base layer (A), bonded to a connector layer (B) through an intermediate buffer layer (C), each made of different polymers. The tube can be formed into crinkles or loops with diameter up to 50 mm without cracking. Multilayer tube for medical purposes, free of PVC and with improved security of peeling, comprises at least 3 layers: a base layer (A), bonded to a connector layer (B) through an intermediate buffer layer (C), each made of different polymers. The tube can be formed into crinkles or loops with diameter up to 50 mm without cracking. The new feature is that both (A) and (B) contain at least 25wt.% (on total weight of the layers) of polyolefins (I), while (C) contains over 75wt.% (of its total weight) of a thermoplastic elastomer (II) that is not a polyolefin. An independent claim is also included for a method for preparing the new tube.