A flexible pipeline (2) to transport a frozen medium has an outer transversely to its longitudinal direction undulated limiting pipe (4), arranged inside said pipe (4) there are at least one metal pipe (5) for guiding the frozen medium as well as a metal cooling pipe (9) for guiding a second frozen medium. Hollow areas of the limiting pipe are evacuated. Fitted inside the limiting pipe are at least two transversely to their longitudinal direction undulated metal pipes (5, 6) for guiding the frozen medium, which are each surrounded by a thermal insulation (7, 8). During the operation of the pipeline the frozen medium is led in different directions through both the metal pipes. Attached around both the metal pipes (5, 6) and the cooling pipe (9) is a pipe shaped closed sleeve (10) composed of a thermally good conductive material that is in contact with the cooling pipe (9).