Patients are stabilized on oral AZT daily for 8 weeks and then begin receiving bolus infusions of PEG IL-2 every other week for at least four doses. Thymosin alpha 1 (given SC) is then added to this regimen twice weekly for 4 weeks. If no significant toxicity occurs, thymosin alpha 1 is increased to and administered along with scheduled doses of PEG IL-2 for an additional 8 weeks.