We present the zero-temperature superconducting (SC) phase diagrams of the two-orbital asymmetric t-J model on a square lattice by means of the auxiliary-boson approach. Besides the two-gap SC and normal phases, we find an orbital dependent intermediate SC phase, in which one orbit is fully SC and another orbit is exponentially vanishing gapped SC. Such an intermediate phase is stable only for sufficient asymmetry in orbital space and doping concentration. The implication of the present scenario on the iron-based and other multi-orbital superconductors is discussed.