In this paper we investigate stability for severe slugging including self-lifting by using a stability solver. The stability solver is a tool in which a numerical linear stability analysis is applied to a mathematical model for a two-phase flow in a pipeline-riser system. The self-lifting approach is interesting because different configurations for the stationary state may occur. Depending on the system parameters, experiments show that two unstable regions may exist. Several parametric analyses are realized to evaluate the influence of self-lifting and to determine an optimal operational condition. Stability maps for severe slugging are built, and experimental data from literature are included, showing a very good agreement; in particular, the two unstable regions were satisfactorily predicted by the stability solver.