  We have studied the existence of topological Bogomol'nyi-Prasad-Sommerfield
or self-dual configurations in a Lorentz-violating gauged $O(3)$ nonlinear
sigma model, where $CPT$-even Lorentz-violating (LV) terms were introduced in
both the gauge and $\sigma $% -field sectors. As happens in the usual gauged
$\sigma $ model, purely magnetic self-dual configurations are allowed,
maintaining some qualitative features of the standard ones. In a more involved
configuration, Lorentz violation provides new self-dual magnetic solutions
carrying an electric field but a null total electric charge. In both cases, the
total energy of the self-dual configurations turns out to be proportional to
the topological charge of the model and to the LV parameters introduced in the
$% \sigma $ sector. It is shown that the LV terms yield magnetic flux reversion
as well.
