  We report on a measurement of the $\Omega_c^0$ lifetime using $\Omega_c^0 \to
\Omega^-\pi^+$ decays reconstructed in $e^+e^-\to c\bar{c}$ data collected by
the Belle II experiment and corresponding to $207~{\rm fb^{-1}}$ of integrated
luminosity. The result, $\rm\tau(\Omega_c^0)=243\pm48( stat)\pm11(syst)~fs$,
agrees with recent measurements indicating that the $\Omega_c^0$ is not the
shortest-lived weakly decaying charmed baryon.
