One or 2 days after the first daclizumab treatment, patients receive 6 mg of sirolimus by mouth. Their blood pressure, pulse, breathing rate, and temperature are monitored for at least 60 minutes. Two days after the first dose, patients begin 2-mg maintenance doses every other day for 2 weeks. If there are no intolerable side effects, the dose is increased to 2 mg daily for the next 2 weeks. Patients who have no intolerable side effects at that dose continue the medication for another 4 weeks. Patients who experience intolerable side effects may decrease the medication to every other day or withdraw from the study. After week 78 of the study, if the daclizumab treatments are stopped, the sirolimus dose is reduced within 8 weeks and may eventually be discontinued if the patient continues to do well.