  We present calculations of single inclusive jet transverse momentum and
energy spectra at forward rapidity ($5.2\!<\!y\!<\!6.6$) in proton-lead
collisions with $\sqrt{s_{NN}}$ = 5.02 TeV. The predictions are obtained with
the KaTie Monte Carlo event generator, which allows to calculate interactions
within the High Energy Factorisation framework. The tree-level matrix element
results are subsequently interfaced with the CASCADE Monte Carlo event
generator to account for hadronisation. The effects of the saturation of the
gluon density, leading to suppression of the cross section, are investigated.
