Inclusion Criteria:
* Chronic lymphocytic leukemia (CLL) or small lymphocytic lymphoma (SLL) diagnosis
* Patients must have been diagnosed with CLL (\> 5000 B-cells per microliter of peripheral blood at any point during the course of their disease) or small lymphocytic lymphoma (SLL) with \<5000 B-cells per microliter of blood but with disease-associated lymphadenopathy by 2018 IWCLL criteria
* Prior treatment
* Patients must be currently receiving CLL/SLL directed therapy with a BTKi (i.e., ibrutinib, acalabrutinib, zanubrutinib) for at least six months
* The dose of Bruton Tyrosine Kinase Inhibitor (BTKi) must be stable for at least the past three months
* Eastern Cooperative Oncology Group (ECOG) performance status 0-2
* Detectable or measurable CLL/SLL in blood or imaging during the screening period. Detectable CLL/SLL in the blood is defined either by elevation in absolute lymphocyte count or by diagnostic flow cytometry from blood demonstrating presence of CLL cells
* Low Tumor Lysis Syndrome (TLS) risk, defined as having all lymph nodes less than 5 centimeters (cm) in diameter (radiographically) and absolute lymphocyte count less than 25 x 109/liter (L) in blood, within 30 days of enrollment
* Required initial laboratory values
* Absolute Neutrophil Count (ANC) 1,000/ cubic millimeters (mm3) except if due to bone marrow involvement
* Platelet Count (untransfused) 30,000/cubic millimeters (mm3) except if due to bone marrow involvement
* Calc. Creatinine Clearance 40 milliliters per minute (mL/min) (by Cockcroft-Gault)
* Bilirubin 1.5 x upper limit of normal (ULN) except if due to liver involvement, hemolysis, or Gilbert's disease
* Aspartate Aminotransferase (AST) / Alanine Aminotransferase (ALT) 2.5 x upper limit of normal (ULN) except if due to liver involvement
* Other
* Patients must be able to swallow oral medications and not have the following conditions: disease significantly affecting gastrointestinal absorption, resection of the stomach or small bowel, partial or complete bowel obstruction
* Patients must be able to receive either a xanthine oxidase inhibitor or rasburicase
Exclusion Criteria:
* Prior treatment
* Patients must not have progression of CLL/SLL on Bruton Tyrosine Kinase Inhibitor (BTKi) therapy prior to initiation of the study therapy
* Patients must not have received the combination of Bruton Tyrosine Kinase Inhibitor (BTKi)+ venetoclax previously
* Comorbid conditions or other active diseases
* Patients must not have any history of Richter's transformation or prolymphocytic leukemia
* If evidence of chronic hepatitis B virus (HBV) infection, HBV viral load must be undetectable and be on suppressive therapy, if indicated
* Please note: Intravenous immunoglobulin (IVIG) can cause a false positive hepatitis B serology. If patients receiving routine IVIG have core antibody or surface antigen positivity without evidence of active viremia (negative hepatitis B DNA) they may still participate in the study, must have hepatitis serologies and hepatitis B DNA monitored periodically by the treating physician
* If history of hepatitis C virus (HCV) infection, must be treated with undetectable HCV viral load
* Patients with Class III or Class IV heart failure by New York Heart Association, those with unstable angina, and those with uncontrolled arrhythmia are not eligible
* Human immunodeficiency virus (HIV)-infected patients on effective antiretroviral therapy are eligible for this trial
* Concomitant medications
* Patients must not be receiving active systemic anticoagulation with heparin or warfarin. Patients on warfarin must discontinue the drug for at least 10 days prior to registration on the study.
* Chronic concomitant treatment with strong inhibitors of CYP3A4/5 is not recommended on this study. Patients on strong CYP3A inhibitors must discontinue the drug for 14 days prior to registration on the study or discuss with the study principal investigator
* Chronic concomitant treatment with strong CYP3A4/5 inducers is not recommended. Patients must discontinue the drug 14 days prior to registration on the study or discuss with the study principal investigator
* Patients must not require more than 20 milligrams (mg) prednisone or equivalent corticosteroid daily
* Patients must not have uncontrolled active systemic infection requiring intravenous antibiotics