This article presents a new hybrid Lattice-Boltzmann method for simulating multiphase. Mean mass and momentum are solved using a Lattice-Boltzmann method, while an order parameter, indicating whether the fluid is gaseous or liquid, is solved by a classical finite volume scheme. The Lattice-Boltzmann scheme is adapted from existing methods using a new equilibrium formulation, as well as new macroscopic reconstructions. The consistency of the resulting scheme is confirmed analytically. Validations are then presented for canonical academic cases, as well as 2D liquid jet simulations yielding different breakup covering dripping, sinuous and atomization regimes.