Ofatumumab and Fresh Frozen Plasma in Patients With Chronic Lymphocytic Lymphoma

Inclusion Criteria: * Patients must have a pathological diagnosis of B-cell CLL. * Patients must have received prior rituximab therapy and must have recovered from all non-hematologic toxicities. (Previous radiation is allowed as long as patients have recovered from all treatment related toxicities). * Patients must meet the following laboratory values: * Hgb \> 9.0 g/dl * Platelets \> 50,000/mm3 * Creatinine \< 2.0 times the institutional upper limit of normal * SGOT/SGPT \< 2.5 times the institutional upper limit of normal * Total Bilirubin \<1. 5 times the institutional upper limit of normal * Alkaline phosphatase \<2.5 times upper limit of normal (unless due to disease involvement of the liver or bone marrow) * Patients must be at least 18 years of age. * Patients must have a performance status of 0-2 by ECOG criteria. * All patients must be informed of the investigational nature of this study and must sign and give written consent in accordance with institutional and federal guidelines. Exclusion Criteria: * Subjects who have current active hepatic or biliary disease. * Having received rituximab or rituximab-containing therapy within the prior 3 months. * Treatment with any known therapeutic or experimental therapy within 4 weeks prior to enrollment, or currently participating in any other interventional clinical study. * Other past or current malignancy. * Prior treatment with anti-CD20 monoclonal antibody or alemtuzumab within 3 months prior to start of therapy. * Chronic or current infectious disease requiring systemic antibiotics, antifungal, or antiviral treatment such as, but not limited to, chronic renal infection, chronic chest infection with bronchiectasis, tuberculosis and active Hepatitis C. * History of significant cerebrovascular disease in the past 6 months or ongoing event with active symptoms or sequelae. * Known HIV positive. * Clinically significant cardiac disease including unstable angina, acute myocardial infarction within six months prior to randomization, congestive heart failure, and arrhythmia unless controlled by therapy, with the exception of extra systoles or minor conduction abnormalities. * Significant concurrent, uncontrolled medical condition including, but not limited to, renal, hepatic, gastrointestinal, endocrine, pulmonary, neurological, cerebral or psychiatric disease which in the opinion of the investigator may represent a risk for the patient. * Positive serology for Hepatitis B (HB) defined as a positive test for HBsAg. * Positive serology for hepatitis C (HC) defined as a positive test for HCAb, in which case reflexively perform a HC RIBA immunoblot assay on the same sample to confirm the result. * Pregnant or lactating women. * Women of childbearing potential, including women whose last menstrual period was less than one year prior to screening, unable or unwilling to use adequate contraception from study start to one year after the last dose of protocol therapy. * Male subjects unable or unwilling to use adequate contraception methods from study start to one year after the last dose of protocol therapy. * Receiving warfarin.