1. Patient must have a B cell ALL (inclusive of ALL blast transformation from CML) or lymphoma and must have relapsed or refractory disease after at least one standard chemotherapy regimen and one salvage regimen. In view of the PI and the primary oncologist, there must be no available alternative curative therapies and subjects must be either ineligible for allogeneic stem cell transplant (SCT), have refused SCT, recurred after SCT, or have disease activity that prohibits SCT at the time of enrollment.