Abstract: The present disclosure relates to a method of treatment of a human patient suffering from a B-cell lymphoproliferative disorders such as B-cell chronic lymphocytic leukemia (B-CLL), splenic marginal zone lymphoma (SMZL), mantle cell lymphoma (MCL), follicular lymphoma (FL), lymphoplasmacytic lymphoma (LPL), and Waldenström syndrome (WS), by the administration of a therapeutically effective amount of 5-aminoimidazole-4-carboxamide riboside (acadesine) or its precursors (eg. its mono-, di- and tri-5?-phosphates). This makes acadesine and its bioprecursors (eg. its mono-, di- and tri-5?-phosphates) useful as therapeutic agents for B-cell lymphoproliferative disorders in humans. The surprising feature that T cells are virtually not affected means that the side effect (immunosuppression) is minor, what represents a therapeutical advantage of acadesine over cladribine, fludarabine and other nucleosides known in the art.