  It is argued that if extragalactic magnetic fields are smaller than
2x10^{-12} G the flux of ultra-high energy photons of (a few)x10^{-1} eV
cm^{-2}s^{-1}sr^{-1} predicted in the top-down models of UHE CR implies similar
flux of the diffuse photons in the energy range 10^{15}-10^{17} eV, which is
close to the existing experimental limit.
