Obinutuzumab With High-dose Ibrutinib for the Treatment of Patients With Chronic Lymphocytic Leukemia With Progressive Disease on Single Agent Ibrutinib.

Inclusion Criteria: * Clinical and phenotypic verification of B cell CLL or SLL and measurable disease. * Prior therapy: Patients must have been receiving single agent ibrutinib therapy at the time of disease progression. Patient may have received other therapy in combination with ibrutinib earlier in the their treatment course. Prior obinutuzumab therapy is also permitted. * Progressive disease on current single agent ibrutinib therapy (but not within the first 2 months of initiating ibrutinib therapy). Progression is based on 2008 iwCLL definition. * ECOG performance status of 0-2. * Adequate hematologic function. * Adequate renal function. * Adequate hepatic function. Exclusion Criteria: * Known CNS lymphoma or leukemia * History of Richter's or prolymphocytic transformation. * Primary ibrutinib resistance, defined by progressive disease within the first 2 months of first initiating ibrutinib therapy. * Uncontrolled autoimmune hemolytic anemia (AIHA) or idiopathic thrombocytopenia purpura (ITP) * CLL therapy, with the exception of ibrutinib within the following timeframes: 1. Chemotherapy, external beam radiation therapy, anticancer antibodies within 30 days prior to the first dose of drug on this study. 2. Corticosteroid use 20mg prednisone within 1 week prior to first dose on this study. 3. Radio- or toxin-conjugated antibody therapy within 10 weeks prior to first dose on this study. 4. Allogeneic stem cell transplant within 6 months prior to first dose on this study * History of major surgery within 4 weeks prior to first dose on this study. * History of prior malignancy, with the exception of adequately treated non-melanoma skin cancer, malignancies treated with curative intent and with no evidence of active disease for more than 3 years, or adequately treated cervical carcinoma in situ without current evidence of disease. * Currently active clinically significant cardiovascular disease or history of myocardial infarction within 6 months of first dose. * Serologic status and/or PCR testing reflecting active hepatitis B or C infection. * Known history of infection with human immunodeficiency virus (HIV). * Unable to swallow capsules or disease significantly affecting gastrointestinal function. * History of stroke or intracranial hemorrhage within 6 months of first dose. * Requires anticoagulation with warfarin or other Vitamin K antagonists. * Requires treatment with a strong CYP 3A inhibitor. * Pregnant or breast-feeding women * Women of child-bearing age must obtain a pregnancy test and pregnant or breast feeding females * Patients who are currently receiving another investigational therapy * Current infection requiring parenteral antibiotics.