In recent years, there has been significant interest in developing pressure-robust numerical schemes for solving partial differential equations (PDEs). These methods enable accurate approximations of velocity, particularly when dealing with non-smooth pressure, by eliminating the dependence on pressure in the error analysis of the velocity. The virtual element method (VEM), introduced in 2013 [1], represents an advanced evolution of the classical Finite Element Method (FEM) to solve PDEs. In [2], the authors propose a VEM for the Stokes equations that achieves divergence-free conditions by ensuring that the divergence of a virtual velocity is included in the space of the pressures in the definition of the local spaces. However, this requirement does not entirely eliminate the dependence on pressure in the error analysis of the velocity. A slight dependence on the pressure still exists due to the approximation of the right-hand side. In this talk, we present a VEM that is stable even in the advection-dominated regime for the Oseen equation. Following the FEM [3], we try to develop a VEM that achieves stability solely through jump operators applied to the skeleton of the mesh. The method controls the polynomial parts of the jumps of (∇u)β through a three-level CIP-form. Specifically, we control the jumps of (∇u)β, the jump of the curl of (∇u)β, and the jump of the gradient of the curl of (∇u)β. We conclude the talk with some numerical results. REFERENCES [1] L. Beir˜ao da Veiga, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini, and A. Russo. Basic principles of Virtual Element Methods. Math. Models Methods Appl. Sci., 23(1):199–214, 2013. [2] L. Beir˜ao da Veiga, C. Lovadina, and G. Vacca. Divergence free virtual elements for the stokes problem on polygonal meshes. ESAIM Math. Model. Numer. Anal., 51(2):509– 535, 2017. [3] G. Barrenechea, E. Burman, E. C´aceres, and J. Guzm´an. Continuous interior penalty stabilization for divergence-free finite element methods. IMA Journal of Numerical Analysis, 44(2):980–1002, 06 2023.