This is a phase I, single-site, study to evaluate the effects of VOR and HIV-1 Antigen Expanded Specific T Cell Therapy (HXTC) on persistent HIV-1 Infection in HIV-infected individuals suppressed on cART. Twelve participants with durable viral suppression will be enrolled and will complete the study. All participants will receive the same treatment and if eligible, will be dosed with HXTC and VOR. Participants will continue their baseline cART regimen throughout the study.