We present preliminary results for the $J/\psi$ close-to-threshold photoproduction obtained in the GlueX experiment at Jefferson Lab. Close-to-threshold photoproduction $\gamma+p\rightarrow{}J/\psi+p$ probes small-size gluon configurations in the proton. This reaction may also contain a contribution from the s-channel production of the LHCb pentaquark $P(4450)\rightarrow{}J/\psi{}+p$ at beam energies of about 10 GeV. Measuring the size of the contribution allows to evaluate or put a limit on the branching ratio of the decay $P\rightarrow{}J/\psi+p$. The GlueX experiment is in the process of collecting data. The main research topic of the experiment is the spectroscopy of light mesons produced by a linearly polarized photon beam with the end point of about 12~GeV.