Immunotherapy, or treatments that work by boosting immune function in the body, such as monoclonal antibodies have shown some efficacy against different types of leukemia. Researchers have learned to manufacture antibodies outside of the human body that can bind to specific targets in cancer cells. Monoclonal antibodies are designed to recognize different proteins on specific cancer cells. The current study combines two monoclonal antibodies, rituximab and fludarabine. Rituximab attaches to a protein called the CD20 antigen that is found almost exclusively on the surface of B-cells with leukemia. Once rituximab attaches to the protein, the immune system activates to kill the malignant B-cells. Alemtuzumab works in a similar way by attaching with the CD25 antigen and also has activity in patients with p53 gene mutations. Previous studies indicate that both rituximab and alemtuzumab separately have some efficacy against lymphocytic leukemia. Research has also shown that fludarabine works against the disease. Rituximab and fludarabine in combination appear to have a high response rate in patients. Researchers are seeking to improve efficacy data by adding alemtuzumab to the combination of rituximab and fludarabine in this study.