  We demonstrate that the healing of two-band superconductivity near the
surface of the system is governed by length scales which are drastically
different from correlation lengths. Similar to the one-band case, one of the
characteristic lengths diverges at critical temperature $T_c$, while another
one shows unusual behaviour having singularity at $T_{c+}<T_c$. By moving away
from the boundary, these scales approach coherence lengths in the bulk state,
where the divergence at $T_{c+}$ is removed by arbitrary weak interband
coupling. Such a boundary-driven modification in coherency affects proximity
phenomenon. We show that critical temperature of binary NS system can exhibit
an inflection near $T_{c+}$ as two-band superconducting layer becomes thinner.
