We investigate rotating Vacuum Localized Structures (VLS), extending earlier work on static vacuum-supported gravitational configurations to include angular momentum. VLS are described phenomenologically by an anisotropic vacuum stress—energy tensor with positive energy density and vacuum-like negative radial pressure, leading to regular, self-gravitating configurations without conventional matter sources. We show that such configurations can consistently support rotation while remaining regular and free of horizons within the slow-rotation approximation.Rotation is treated perturbatively, allowing for physically significant linear velocities while maintaining control of the expansion. In the weak-field regime, a Poisson-based analysis is used to derive the rotating configuration and to compute the associated radial and tangential pressure profiles explicitly. These profiles are shown to remain well behaved throughout the structure and to reduce smoothly to the static limit in the absence of rotation.From an astrophysical perspective, rotating VLS provide a potential alternative to particle dark matter, as their gravitational effects arise from vacuum structure rather than from baryonic or exotic matter. More generally, they offer a framework for modeling compact, rotating, vacuum-dominated objects in general relativity without curvature singularities.