A resonance-like structure, the P$_c$(4450), has recently been observed in the J/$\psi$ p spectrum by the LHCb collaboration. We discuss the feasibility of detecting this structure in J/$\psi$ photoproduction in the CLAS12 experiment at JLab. We present a first estimate of the upper limit for the branching ratio of the P$_c$(4450) to J/$\psi$ p. Our estimates, which take into account the experimental resolution effects, predict that it will be possible to observe a sizable cross section close to the J/$\psi$ production threshold and shed light on the P$_c$(4450) resonance in the future photoproduction measurements.