A new use of a molecule comprising at least one moiety which is a biologically active protein and at least one moiety capable of binding to a serum albumin of a mammal is provided, for preparation of a medicament which elicits no or a reduced immune response upon administration to the mammal, as compared to the immune response elicited upon administration to the mammal of the biologically active protein per se. Also provided is a method of reducing or eliminating the immune response elicited upon administration of a biologically active protein to a human or non-human mammal, which comprises coupling the polypeptide to at least one moiety capable of binding to a serum albumin of the mammal.