  Within the framework of the local hidden gauge formalism, we have reanalyzed
the hidden-charm vector-vector meson $D^*\bar{D}^*$, $K^*\bar{K}^*$, and
$\rho\rho$ interactions with the quantum numbers $I(J^P)=1(1^+)$. The
estimation indicates that $D^*\bar{D}^*$ system could form a bound state around
4010 MeV. By comparing our theoretical estimation with the BESIII measurements
of the $e^+e^- \to (D^*\bar{D}^*)^{\pm}\pi^{\mp}$ and $e^+e^- \to
(D^*\bar{D}^*) ^{0}\pi^{0}$ reactions at $\sqrt{s}=4.26$ GeV , we find that the
enhancement structure of the $Z_c(4025)$ in the $D^*\bar{D}^*$ invariant mass
distribution observed by BESIII could be interpreted by a shallow
$D^*\bar{D}^*$ bound state.
