Internal tides are sub-surface inertia-gravity waves that generate significant sea surface height signals detectable with satellite altimetry. The Surface Water and Ocean Topography (SWOT) mission provides an exciting opportunity to characterize these signals with unprecedented spatial detail. Separating tidal and non-tidal oceanic signals is necessary for achieving the SWOT mission's objective of advancing our understanding of mesoscale and submesoscale processes. In this study, we evaluate the performance of a data-assimilative HYbrid Coordinate Ocean Model (HYCOM) forecast system in resolving both phase-locked and non-phase-locked internal tides during the SWOT Cal/Val period. We compare HYCOM's effectiveness to the High-Resolution Empirical Tide model (HRET22), which is currently used for internal tide corrections but only accounts for the phase-locked component. HYCOM achieves an average of 5% greater reduction in phase-locked internal tide variance and a 24.6% greater total variance reduction compared to HRET22 by also accounting for non-phase-locked internal tides. At the