Methods for cancer treatment include administering to a cancer patient an anti-CD38 antibody-attenuated human IFN alpha-2b construct and lenalidomide or pomalidomide. Tumors that may be treated according to these methods include tumors which comprise CD-38 expressing tumor cells, including B-cell lymphoma, multiple myeloma, non-Hodgkin's lymphoma, chronic myelogenous leukemia, chronic lymphocytic leukemia, and acute lymphocytic leukemia.