If you are found to be eligible to take part in this study, you will receive alemtuzumab 3 times a week as an injection under the skin. Typically these injections will be given on Monday, Wednesday, and Friday. Each dose will be divided into two injections to be given in each thigh. You will be treated for 12 weeks in a row. The treatment doses will be given by a nurse at M. D. Anderson in an outpatient setting. Before each injection, you may receive Tylenol and/or Benadryl to decrease the risk of side effects caused by the study drug.