A Safety Confirmatory Study of Alemtuzumab in Japanese Patients With Relapsed or Refractory Chronic Lymphocytic Leukemia

Inclusion Criteria: * B-cell Chronic Lymphocytic Leukemia (B-CLL) according to the 1996 National Cancer Institute-sponsored Working Group (NCI-WG) Criteria * One or more, but \<= 3 previous treatment regimens for Chronic Lymphocytic Leukemia (CLL) * Patient requires treatment for CLL (Rai stage III and IV disease or stage 0 to II disease with evidence of progression) * Adequate bone marrow, liver and renal function * More than 4 weeks since prior chemotherapy or chemoimmunotherapy, including investigational agents, for the treatment of CLL. Patient must have recovered from the acute side effects incurred as a result of previous therapy * World Health Organization (WHO) Performance Status (PS) 0,1 * Life expectancy of at least 24 weeks * Women of childbearing potential must have a negative serum or urine pregnancy test performed within 7 days prior to the start of treatment. Both men and women enrolled in this trial must use adequate barrier birth control measures during the course of the trial and 2 weeks after the completion of trial * Written informed consent Exclusion Criteria: * Known human immunodeficiency virus (HIV) seropositivity * Active hepatitis or a history of prior viral hepatitis B or hepatitis C, or positive hepatitis B serologies. Patients with a positive hepatitis B surface antibody (HBsAb) test with a documented history of prior hepatitis B immunization are eligible as long as other criteria are met (i.e., negative tests for : hepatitis B surface antigen \[HBsAg\], hepatitis B core antibody \[HBcAb\] and hepatitis C virus antibody \[HCVAb\]) * Active uncontrolled infection * Recent documented history (within 2 years) of active tuberculosis (TB), current active TB infection, currently receiving anti-tuberculous medication (e.g., isoniazid, rifampin, streptomycin, pyrazinamide, or others) * Positive cytomegalovirus (CMV) by Polymerase Chain Reaction (PCR) assay * Transformation to aggressive lymphoma (e.g., Richter's syndrome) * Past history of anaphylaxis following exposure to humanized monoclonal antibodies * Previous treatment with alemtuzumab * Previous hematopoietic stem cell transplant * Pregnant or breast-feeding patients * Central nervous system (CNS) involvement with CLL * Other severe, concurrent diseases (e.g., cardiac or pulmonary disease), mental disorders, or major organ malfunction (e.g., liver, kidney) that could interfere with the patient's ability to participate in the study * Medical condition requiring chronic use of oral corticosteroids at a dose higher than physiologic replacement. * Active malignancy, other than CLL, which needs therapy with anti-cancer drug(s) * Autoimmune anemia and/or thrombocytopenia * Small lymphocytic lymphoma