  We study whether the nonmonotonic behavior found in the differential cross
section of the phi-meson photoproduction near threshold can be described by a
resonance. The resonant contribution is evaluated by using an effective
Lagrangian approach. We find that, with the assumption of a J^P=3/2^- resonance
with mass of 2.10 \pm 0.03 GeV and width of 0.465 \pm 0.141 GeV, LEPS data can
indeed be well described. The ratio of the helicity amplitudes A_1/2/A_3/2
calculated from the resulting coupling constants differs in sign from that of
the known D13(2080). We further find that the addition of this postulated
resonance can substantially improve the agreement between the existing
theoretical predictions and the recent omega photoproduction data if a large
value of the OZI evading parameter x_OZI = 12 is assumed for the resonance.
