  We study the finite-volume correction on the hadronic vacuum polarization
contribution to the muon g-2 ($a_\mu^{\rm hvp}$) in lattice QCD at (near)
physical pion mass using two different volumes: $(5.4~{\rm fm})^4$ and
$(8.1~{\rm fm})^4$. We use an optimized AMA technique for noise reduction on
$N_f=2+1$ PACS gauge configurations with stout-smeared clover-Wilson fermion
action and Iwasaki gauge action at a single lattice cut-off $a^{-1}=2.33$ GeV.
The calculation is performed for the quark-connected light-quark contribution
in the isospin symmetric limit. We take into account the effects of backward
state propagation by extending a temporal boundary condition. In addition we
study a quark-mass correction to tune to the exactly same physical pion mass on
different volume and compare those correction with chiral perturbation. We find
$10(26)\times10^{-10}$ difference for light quark $a_\mu^{\rm hvp}$ between
$(5.4~{\rm fm})^4$ and $(8.1~{\rm fm})^4$ lattice in 146 MeV pion.
