Since the $N^*(1535)$ resonance was found to have large coupling to the strangeness due to its possible large $sbar s$ component, we investigate the possible contribution of the t-channel $N^*(1535)$ exchange for the $pbar p to phiphi$ reaction. Our
calculation indicates that the new mechanism gives very significant contribution for the energies above 2.25 GeV and may be an important source for evading the Okubo-Zweig-Iizuka rule in the $phi$ production from $N bar{N}$ annihilation.
