In this work, we investigate the hadronic loop contributions to the Upsilon (6S) rightarrow chi _{bJ} phi ~(J=0,1,2) along with Upsilon (6S) rightarrow chi _{bJ} omega ~(J=0,1,2) transitions. We predict that the branching ratios of Upsilon (6S) rightarrow chi _{b0} phi , Upsilon (6S) rightarrow chi _{b1} phi and Upsilon (6S) rightarrow chi _{b2} phi are (0.68–4.62) times 10^{-6}, (0.50–3.43) times 10^{-6}, and (2.22–15.18) times 10^{-6}, respectively, and those of Upsilon (6S) rightarrow chi _{b0} omega , Upsilon (6S) rightarrow chi _{b1} omega and Upsilon (6S) rightarrow chi _{b2} omega are (0.15–2.81) times 10^{-3}, (0.63–11.68) times 10^{-3}, and (1.08–20.02) times 10^{-3}, respectively. Especially, some typical ratios, which reflect the relative magnitudes of the predicted branching ratios, are given, i.e., for Upsilon (6S)rightarrow chi _{bJ}phi transitions, mathcal {R}^phi _{10}={mathcal {B}[Upsilon (6S) rightarrow chi _{b1} phi ]}/{mathcal {B}[Upsilon (6S) rightarrow chi _{b0} phi ]} approx 0.74, mathcal {R}^phi _{20}= {mathcal {B}[Upsilon (6S) rightarrow chi _{b2} phi ]}/{mathcal {B}[Upsilon (6S) rightarrow chi _{b0} phi ]} approx 3.28, and mathcal {R}^phi _{21} = {mathcal {B}[Upsilon (6S) rightarrow chi _{b2} phi ]}/{mathcal {B}[Upsilon (6S) rightarrow chi _{b1} phi ]} approx 4.43, and for Upsilon (6S)rightarrow chi _{bJ}omega transitions, mathcal {R}^omega _{10}={mathcal {B}[Upsilon (6S) rightarrow chi _{b1} omega ]}/{mathcal {B}[Upsilon (6S) rightarrow chi _{b0} omega ]} approx 4.11, mathcal {R}^omega _{20}= {mathcal {B}[Upsilon (6S) rightarrow chi _{b2} omega ]}/{mathcal {B}[Upsilon (6S) rightarrow chi _{b0} omega ]} approx 7.06, and mathcal {R}^omega _{21} = {mathcal {B}[Upsilon (6S) rightarrow chi _{b2} omega ]}/{mathcal {B}[Upsilon (6S) rightarrow chi _{b1} omega ]} approx 1.72. With the running of BelleII in the near future, experimental measurement of these two kinds of transitions will be a potential research issue.