The present invention provides novel compositions and methods for use in the treatment of cancer, specifically, in the treatment of chronic myelogenous leukemia (CML). The compositions contain antisense oligonucleotides that hybridize to Grb2 and Crkl nucleic acids, the gene products of which are known to interact with the tumorigenic protein bcr-abl. Used alone, in conjunction with each other, and even in conjunction with antisense oligonucleotides directed to bcr-abl nucleic acids, these compositions inhibit the proliferation of CML cancer cells.