* Total bilirubin ≤ 1.5 times the upper limit of normal (ULN), aspartate transaminase (AST) and/or alanine aminotransferase (ALT) ≤ 2.5 times ULN
* Serum creatinine ≤ 1.5 times the ULN
6. Eastern Cooperative Oncology Group (ECOG) performance status of 0 to 1
7. Chemotherapy: must not have received within 8 weeks of entry onto this study
8. Radiotherapy: must not have received within 4 weeks of entry onto this study
9. Recovery (to baseline or to Grade 1 or less) from prior treatment-related toxicities except alopecia
10. Aagreement to practice contraception
11. More than 6 months life expectancy.
You may not be if
1. Received any investigational drug within 28 days prior to study enrollment
2. Received blood transfusion or any therapies with erythropoietin (EPO), granulocyte-stimulating factor (G-CSF) or granulocyte-macrophage colony-stimulating factor (GM-CSF) within 14 days prior to study enrollment
3. Received previous immunotherapy
4. Received or plan to receive a live vaccine within 28 days of study enrollment
5. Major surgery within 28 days of study enrollment
6. Received systemic steroid therapy with 28 days of study enrollment
7. Received or plan to receive the hematopoietic cell transplant
8. History of gastrointestinal perforation and/or fistula within 6 months prior to study enrollment
9. Known allergic reactions against monoclonal antibody or rituximab.
10. Received rituximab or other anti-CD20 monoclonal antibody
11. Blood concentration of rituximab \> 10 ug/mL during screen visit
12. Human immunodeficiency virus (HIV) positive
13. Hepatitis C virus (HCV) antigen and antibody positive
14. Hepatitis B virus surface antigen (HBsAg) positive