  The recently observed by CLEO cascade decays Upsilon(3S) -> gamma
chi_{bJ}^\prime -> gamma omega Upsilon are discussed. It is shown that within
the nonrelativistic description of bottomonium in the heavy b quark limit, the
ratio of the rates of the transitions chi_{bJ}^\prime -> omega Upsilon with J=1
and J=2 should be given by the ratio of the corresponding S wave phase space
factors. As a result, the rate of the observed cascade transitions through the
chi_{b2}^\prime resonance should be close to that through the chi_{b1}^\prime.
It is suggested that the ratio of the discussed cascade rates can also be
tested by measuring a simple angular correlation.
