We investigate the newly observed $\Omega(2012)$ using QCD sum rules. By constructing $P$-wave $\Omega$ currents with a covariant derivative and performing spin projection, we obtain spin-1/2 and spin 3/2 components. Using parity-projected sum rules, we extract the masses $M_{1/2^-} = 2.07^{+0.07}_{-0.07}{\rm~GeV}$ and $M_{3/2^-} = 2.05^{+0.09}_{-0.10}{\rm~GeV}$, both consistent with experimental data. This suggests that $\Omega(2012)$ is a negative-parity $P$-wave excitation, though its spin remains undetermined and requires further analysis.