The energy dependence of the cross section of incoherent \Jpsi photonuclear production off lead nuclei is shown for three ranges of the Mandelstam-$t$ variable and compared with model predictions. The shadowing based model of Guzey et al.~ is shown with a dot-dashed line. Two saturation-based predictions are also shown: from M{\"a}ntysaari et al.~ with a dashed line and from Cepila et al.~ with a solid line.