  In this paper we consider the massive scalar perturbation on the top of a
small spinning-like black hole in context of Einstein-bumblebee modified
gravity in order to probe the role of spontaneous Lorentz symmetry breaking on
the superradiance scattering and corresponding instability. We show that at the
low-frequency limit of the scalar wave the superradiance scattering will be
enhanced with the Lorentz-violating parameter $\alpha<0$ and will be weakened
with $\alpha>0$. Moreover, by addressing the black hole bomb issue, we extract
an improved bound in the instability regime indicating that $\alpha<0$
increases the parameter space of the scalar field instability, while $\alpha>0$
decreases it.
