Inspired by the newly observed Ωð2012Þ state at Belle II, we investigate the two-body strong decays of Ω baryons up to N ¼ 2 shell within the chiral quark model. Our results indicate that (i) the newly observed Ωð2012Þ state could be assigned to the spin-parity J P ¼ 3=2 − state j70; 2 10; 1; 1; 3 2 − i and the experimental data can be reasonably described. However, the spin-parity J P ¼ 1=2 − state j70; 2 10; 1; 1; 1 2 − i and spin-parity J P ¼ 3=2 þ state j56; 4 10; 2; 0; 3 2 þ i cannot be completely excluded.(ii) The D-wave states in the N ¼ 2 shell are most likely to be narrow states with a width of dozens of MeV and have a good potential to be observed in the ΞK and/or Ξð1530ÞK channels in future experiments. The Ωð2250Þ resonance listed in PDG may be a good candidate for the J P ¼ 5=2 þ 1D wave state j56; 4 10; 2; 2; 5=2 þ i.