This is a 24 week placebo controlled, double-blind, 2-arm study of ADAPTAVIR, Monomeric Dala1-peptide T-amide (mDAPTA) compared to placebo, in HIV infected individuals with suppressed plasma viral loads < 200 copies/ml by highly active antiretroviral therapy (HAART) treatment for at least 3 months prior to entry with at least 6 continuous months of HAART treatment preceding entry. 20 treatment and 20 placebo individuals will be enrolled in each arm. The study duration is 24 weeks on placebo or mDAPTA administered intranasally at 0.01 mg two times a day.