Inclusion Criteria:

          -  Patients older than18 years and 65 years or less.

          -  Diagnosis of CLL meeting the IWCLL 2008 criteria.

          -  Total CIRS <6, creatinine clearance >30 ml/min [Cockcroft-Gault]) and ECOG performance
             status of 0-1.

          -  No prior treatment.

          -  Umutated IGVH and/or disrupted TP53.

          -  Active disease meeting at least 1 of the following the IWCLL 2008 criteria for
             treatment requirement.

          -  Adequate bone marrow function without transfusion <2 weeks of screening as follows:
             absolute neutrophil count (ANC) ≥1.0 x 109/L (growth factors administration is
             allowed); platelets ≥30 x 109/L. If thrombocytopenia due to BM involvement, platelets
             should be ≥ 30 x 109/L; hemoglobin value ≥8.0 g/dl.

          -  Adequate renal and hepatic function per local reference laboratory reference ranges

          -  Female patients of childbearing potential and non-sterile male patients must practice
             at least one of method of birth control with partner(s) beginning with initial
             treatment administration and continuing to 12 months after the last dose of Rituximab.

          -  Male patients must agree to refrain from sperm donation, from initial treatment
             administration until 12 months after the last dose of Rituximab.

          -  A signed informed consent document indicating that they understand the purpose of and
             procedures required for the study, including biomarkers, and are willing to
             participate in the study.

        Exclusion Criteria:

          -  Any significant concurrent, uncontrolled medical condition or organ system dysfunction
             and/or laboratory abnormality or psychiatric disease, which, in the investigator's
             opinion, could compromise the subject's safety or put the study outcomes at undue risk
             or prevent the subject from signing the informed consent form.

          -  Transformation of CLL to aggressive NHL (Richter's transformation or pro-lymphocytic
             leukemia).

          -  History of other malignancies Pregnant or lactating females.

          -  Inadequate renal function: CrCl <30 mL/min.

          -  Uncontrolled autoimmune hemolytic anemia or thrombocytopenia.

          -  Subject is known to be positive for HIV.

          -  Evidence of other clinically significant uncontrolled condition(s)

          -  Prior or concomitant fruits and/or specific drugs.