In the J/ψ radiative decay channels J/ψ → γVV , the result of partial wave analysis indicates that the VV systems are predominately pseudoscalar component, and most of these channels have relatively large branching ratios at an order of 10 −3 . Meanwhile, vector mesons, such as ρ, ω and K * , have strong couplings with nucleons and/or hyperons. This suggests a dynamical mechanism describing the ηpp form factors for higher η mesons, such as η(1405/1475) and η(1760). It is thus natural to expect that rescatterings of these vector meson pairs into pp of 0 − partial wave could be an important source contributing to J/ψ → γpp of which the branching ratio is at the order of 10 −4 . Our calculation justifies this point. In particular, we find that interferences between different rescattering amplitudes can produce a significant threshold enhancement in the invariant mass spectrum of pp. Without introducing dramatic ingredients, our model provides a natural explanation for the peculiar threshold enhancement observed by BES-II in J/ψ → γpp. Additional experimental constraints on the VV → pp transitions are examined. This mechanism in J/ψ → ωpp is also discussed.