Patients receive chemotherapy comprising fludarabine phosphate and cyclophosphamide as determined by the referring physician in consultation with the protocol principal investigator (PI). Beginning within 36-96 hours after completion of lymphodepleting chemotherapy, patients receive ROR1 CAR-specific autologous T-lymphocytes intravenously (IV) over 20-30 minutes. Patients may receive a second infusion of ROR1 CAR-specific autologous T-lymphocytes with or without additional cytoreductive therapy at the same (for those that received the highest cell dose) or up to the next highest dose level and there is persistent disease, there were no toxicities attributed to the first infusion, and the patient is at least 21 days from the first T cell infusion.