A Safety Study in Patients With Chronic Lymphocytic Leukemia

Inclusion Criteria: 1. Patients must have a histologic diagnosis of CLL as defined by the WHO criteria and exhibit active disease requiring treatment as per the NCI working group on CLL. 2. Patients must have a fresh tumor specimen available (peripheral blood or bone marrow) for flow cytometry evaluation (e.g. CD40, CD38, CD20, CD19, and CD5).For the phase 2 portion of the study, CD40 expression on malignant cells must be confirmed prior to registration. 3. Patients must have relapsed after receiving at least one fludarabine containing regimen or an equivalent purine analog. At study start patients must be at least 8 weeks or 5 plasma half-lives (whichever is greater) from prior chemotherapy/radiation/investigational agents, 8 weeks from prior antibody therapy and 6 months from autologous stem cell transplant. 4. Patients must have an ECOG performance status ≤ 2 and a life expectancy \> 3 months. 5. Patients must have the following required baseline laboratory data: * Platelet count ≥ 50,000/mm3 (may be maintained by transfusion) * Hemoglobin ≥ 7.5 g/dL (may be maintained by transfusions or growth factors) * Absolute neutrophil count ≥ 1,000/mm3 (may be maintained by growth factors) * ALT/AST ≤ 2.0 times ULN * Total bilirubin ≤ 2.0 times ULN (unless related to hemolysis) * Creatinine \< 2.0 times ULN 6. Females of childbearing potential must have a negative B-hCG pregnancy test result within 3 days prior to the first dose and must agree to use an effective contraceptive method during the course of the study and for 6 months following the last dose of study drug. 7. If a deep venous thrombosis or other vascular event has required medical or surgical intervention in the past year, patients must either: a) be on a stable dose of anticoagulant therapy (i.e., Coumadin and/or Heparin) for at least three weeks or b) have completed anticoagulant therapy at least three months prior to registration with radiographic confirmation that thrombosis is resolved. Prophylactic anticoagulant therapy for indwelling catheters is acceptable. 8. Patients must be at least 18 years of age. 9. Patients must be available for periodic blood sampling, study-related assessments, and management of toxicity at the treating institution. 10. Patients must give written informed consent. A copy of the signed informed consent form will be retained by the treating institution. Exclusion Criteria: 1. Patients who have been treated previously with any anti-CD40 antibody. 2. Patients with a documented history within 6 months of registration of a cerebral vascular event (stroke or TIA), unstable angina, or myocardial infarction. 3. Patients with active CNS or leptomeningeal disease. 4. Patients who have received allogeneic stem cell transplant. 5. Patients who have had major surgery within four weeks prior to enrollment. 6. Patients with a known hypersensitivity to recombinant proteins or any excipient contained in the drug formulation. 7. Patients with a history of another primary malignancy that has not been in remission for at least 5 years (non-melanoma skin cancer and cervical carcinoma in situ on biopsy or a squamous intraepithelial lesion on PAP smear are exempt from the five year limit). 8. Patients with any systemic viral, bacterial, or fungal infection that has required antibiotic therapy within four weeks prior to enrollment. Prophylactic antibiotics and antiviral therapy are permitted prior to registration and are required during the study period (e.g. Bactrim, acyclovir). 9. Patients with known HIV, hepatitis B (by surface antigen expression), or active hepatitis C infection. 10. Patients on systemic steroids who have not been on a stable daily dose during the four weeks immediately prior to first dose of SGN-40. Maximum steroid dose is 10 mg prednisone per day or equivalent. 11. Patients with a history of migraines or severe headaches requiring medical therapy (other than occasional acetaminophen, aspirin, or non-steroidal anti-inflammatory drugs) within 12 months of enrollment. 12. Patients who are pregnant or breastfeeding. 13. Patients with any serious underlying medical condition that would impair their ability to receive or tolerate the planned treatment. 14. Patients with dementia or altered mental status that would preclude the understanding and/or rendering of informed consent.