Patients in this study will receive fludarabine, rituximab, and alemtuzumab. These drugs will be administered through intravenous infusions. The treatment period will last 22 weeks. Fludarabine will not be given during week one, 5 days during week 2, and 5 days during weeks 6, 10, 14, 18, and 22. Rituximab will not be given during week one, 3 times the second week, and day one of weeks 6, 10, 14, 18, and 22. Alemtuzumab will be given 3 times during week one, once during week 2, and day 2 of weeks 6, 10, 14, 18, and 22. The dosage amount of rituximab and alemtuzumab will be increased depending upon the degree of side effects. Several tests and exams will be given throughout the study to closely monitor patients. Treatments will be discontinued due to disease growth or unacceptable side effects.