  Superconductivity in strongly correlated systems is a remarkable phenomenon
that attracts a huge interest. The study of this problem is relevant for
materials as the high $T_c$ oxides, pnictides and heavy fermions. These systems
also have in common the existence of electrons of several orbitals that coexist
at a common Fermi-surface. In this paper we study the effect of pressure,
chemical or applied on multi-band superconductivity. Pressure varies the atomic
distances and consequently the overlap of the wave-functions in the crystal.
This rearranges the electronic structure that we model including a pressure
dependent hybridization between the bands. We consider the case of
two-dimensional systems in a square lattice with inverted bands. We study the
conditions for obtaining a pressure induced superconductor quantum critical
point and show that hybridization, i.e., pressure can induce a BCS-BEC
crossover in multi-band systems even for moderate interactions. We briefly
discuss the influence of the symmetry of the order parameter in the results.
