Using data samples of e+e− collisions collected at the Υ(1S), Υ(2S), and Υ(3S) resonances with the Belle detector, we search for the three-body decay of the Ω(2012) baryon to KπΞ. This decay is predicted to dominate for models describing the Ω(2012) as a KΞ(1530) molecule. No significant Ω(2012) signals are observed in the studied channels, and 90% credibility level upper limits on the ratios of the branching fractions relative to KΞ decay modes are obtained.