Inclusion Criteria:

- Subject must be at least 18 years of age.

- Subject must have either:

- (Arm A) relapsed or refractory CLL/SLL and require treatment in the opinion of
the Investigator. Subject must have relapsed following or be refractory to
standard treatments such as fludarabine based regimens (F, FC, FR, FCR) or
alkylator (chlorambucil, bendamustine) based regimens. In addition, there are
no other curative options, and the subject has exhausted options that would be
considered standard of care, or

- (Arm B) relapsed or refractory NHL and require treatment in the opinion of the
Investigator. Subject must have histologically documented diagnosis of NHL as
defined in the World Health Organization classification scheme, except as noted
in the exclusion criteria. Subject must have relapsed following or be
refractory to standard treatments such as R-CHOP, R-CVP, or fludarabine based
regimens. In addition, there are no other curative options, and the subject has
exhausted options that would be considered standard of care. Subjects with
other lymphoproliferative diseases can be considered in consultation with the
Abbott medical monitor.

- Subject has an Eastern Cooperative Oncology Group (ECOG) performance score less than
or equal to 1.

- Subject must have adequate bone marrow independent of growth factor support per local
laboratory reference range at Screening.

- Subject must have adequate coagulation, renal, and hepatic function, per laboratory
reference range at Screening.

Exclusion Criteria:

- CLL subject has undergone an allogeneic or autologous stem cell transplant or NHL
subject has undergone an allogeneic stem cell transplant or has been diagnosed with
Post-Transplant Lymphoproliferative Disease, Burkitt's lymphoma, Burkitt-like
lymphoma, or lymphoblastic lymphoma/leukemia.

- Subject has tested positive for HIV.

- Subject has a cardiovascular disability status of New York Heart Association Class
greater or equal to 2. Class 2 is defined as cardiac disease in which patients are
comfortable at rest but ordinary physical activity, results in fatigue, palpitations,
dyspnea or anginal pain.

- Subject has a significant history of renal, neurologic, psychiatric, endocrinologic,
metabolic, immunologic, cardiovascular, or hepatic disease that in the opinion of the
Investigator would adversely affect his/her participating in this study.

- Subject has received a monoclonal antibody for anti-neoplastic intent within 8 weeks
prior to the first dose of study drug.