This research study is for patients diagnosed with T-cell Acute Lymphoblastic Leukemia (ALL). ALL is a type of cancer that occurs in the bone marrow. It is a disease in which there is an uncontrolled growth of abnormal white blood cells, referred to as blasts. These abnormal cells crowd out the normal cells in the bone marrow. Sometimes these blasts cells can be found in the brain, spinal cord, and /or other organs of the body. Participants in this study have a type of ALL that places them in the Intermediate Risk group of T-cell ALL, which means that they have entered remission (less than 5% blasts in the bone marrow at the end of Induction therapy and 0.1-1% blasts detected by a test called flow cytometry) and are not in the Low or High Risk groups. Most subjects (about 60%) with T-cell ALL fall into the Intermediate Risk group.