- Patients age 18 or older with lymphoma (all types) or chronic lymphocytic leukemia will be randomized just prior to the transplant regimen to receive DLI with either donor Th2 cells (cohort 1) or unmanipulated T cells (cohort 2); n=10 patients will be accrued to each arm provided that stopping rules pertaining to excessive GVHD or graft rejection are not met. For these randomized patients, the preparative regimen will consist of low-intensity fludarabine (120 mg/m(2)) plus cyclophosphamide (1200 mg/m(2)) and GVHD prophylaxis will consist of short-course, high-dose sirolimus followed by maintenance cyclosporine. Cohorts 1 and 2 will be compared in a preliminary manner with respect to their post-transplant outcome, in particular: (a) conversion of mixed chimerism to predominant donor chimerism; (b) rate and severity of classical acute and late acute GVHD at the day 100 and day 180 post-transplant time points; and (c) time to induction of leukemia/lymphoma remission (if entering transplant with disease) or time to relapse (if entering transplant in remission).