Using data collected in the Belle experiment at the KEKB asymmetric-energy e(+) e(-) collider we search for transitions Upsilon(4S) -> eta(b)(1S)omega, Upsilon(5S) -> eta(b)(1S)omega and Upsilon(5S) -> eta(b)(2S)omega. No significant signals are observed and we set 90% confidence level upper limits on the corresponding visible cross sections: 0.2 ph, 0.4 pb and 1.9 pb, respectively.