  The effect of interorbital hopping on the orbital selective Mottness in a
two-band correlation system is investigated by using the dynamical mean-field
theory with the Lanczos method as impurity solver. We construct the phase
diagram of the two-orbital Hubbard model with interorbital hopping ($t_{12})$,
where the orbital selective Mott phases (OSMP) show different evolution trends.
We find that the negative interorbital hopping ($t_{12}<0$) can enhance the
OSMP regime upon tuning the effective bandwidth ratio. On the contrary, for the
cases with positive interorbital hopping ($t_{12}>0$), the OSMP region becomes
narrow with the increase of orbital hybridization until it disappears. It is
also shown that a new OSMP emerges for a large enough positive interorbital
hopping, owing to the role exchange of wide and narrow effective orbitals
caused by the large $t_{12}$. Our results are also applicable to the
hole-overdoped Ba$_2$CuO$_{4-\delta}$ superconductor, which is an
orbital-selective Mott compound at half-filling.
