<p>We study the impact of unitarity violation on the sensitivity of the leptonic CP phase, <i>δ</i>_CP, considering the next generation of long-baseline neutrino experiments, Hyper-Kamiokande and DUNE. By simulating near and far detectors and assuming different scenarios for non-unitarity, we verify how it can affect the sensitivity to measure the <i>δ</i>_CP violating phase. We also probe the capability of these experiments to constrain the non-unitarity parameters and how their capability could be improved if the impact of non-unitarity at both near and the far detectors were properly taken into account. We find that the Hyper-Kamiokande experiment is robust in the presence of non-unitarity mixing, achieving a sensitivity above 5<i>σ</i> for our all considered cases. On the other hand, DUNE suffers somewhat more impact due to unitarity violation, reaching a sensitivity below 5<i>σ</i> for some values of <i>δ</i>_CP. However, depending on the scenario adopted for non-unitarity, DUNE demonstrates robustness in the sensitivity to <i>δ</i>_CP phase.</p>