The establishment of HIV-1 latency has hindered an HIV-1 cure. "Shock and Kill" strategies to target this reservoir aim to induce the latent provirus with latency reversing agents (LRAs). However, recent studies have shown that the majority of the intact HIV-1 viral reservoir found in ART-suppressed HIV infected individuals is not inducible. We sought to understand whether this non-inducible reservoir is established, and thus able to be studied, in an in vitro primary TCM model of latency. Furthermore, we wanted to expand this model system to include R5-tropic and non-B subtype viruses. To that end, we generated our TCM model of latency with an R5 subtype B virus, AD8 and an R5 subtype C virus, MJ4. Our results demonstrate that both intact and defective proviruses are generated in this model. Less than 50% of intact proviruses are inducible regardless of viral strain in the context of maximal stimulation through the TCR or with different clinically relevant LRAs including the HDAC inhibitors SAHA and MS-275, the PKC agonist Ingenol 3,20-dibenzoate or the SMAC mimetic AZD-5582. Our findings suggest that current LRA strategies are insufficient to effectively reactivate intact latent HIV-1 proviruses in primary CD4 TCM cells and that the mechanisms involved in the generation of the non-inducible HIV-1 reservoir can be studied using this primary in vitro model.Importance: HIV-1 establishes a latent reservoir that persists under antiretroviral therapy. Antiretroviral therapy is able to stop the spread of the virus and the progression of the disease but does not target this latent reservoir. If antiretroviral therapy is stopped, the virus is able to resume replication and the disease progresses. Recently, it has been demonstrated that most of the latent reservoir capable of generating replication competent virus cannot be induced in the laboratory setting. However, the mechanisms that influence the generation of this intact and non-inducible latent reservoir are still under investigation. Here we demonstrate the generation of defective, intact and intact non-inducible latent HIV-1 in a TCM model of latency using different HIV-1 strains. Thus, the mechanisms which control inducibility can be studied using this primary cell model of latency, which may accelerate our understanding of the latent reservoir and the development of curative strategies.