  We investigate the production of $X_b$ in the process $\Upsilon(5S,6S)\to
\gamma X_b$, where $X_b$ is assumed to be a $B {\bar B}^*$ molecular state. Two
kinds of meson loops of $B^{(*)}{\bar B}^{(*)}$ and $B_1^{\prime}{\bar
B}^{(*)}$ were considered. To explore the rescattering mechanism, we calculated
the relevant branching ratios using the effective Lagrangian based on the heavy
quark symmetry. The branching ratios for the $\Upsilon(5S\,,6S) \to \gamma X_b$
were found to be at the orders of $10^{-7} \sim 10^{-6}$. Such sizeable
branching ratios might be accessible at BelleII, which would provide important
clues to the inner structures of the exotic state $X_b$.
