  Inclusive J/$\psi$ production is studied in Xe-Xe interactions at a
centre-of-mass energy per nucleon pair of $\sqrt{s_{\rm NN}}= 5.44$ TeV, using
the ALICE detector at the CERN LHC. The J/$\psi$ meson is reconstructed via its
decay into a muon pair, in the centre-of-mass rapidity interval $2.5<y<4$ and
down to zero transverse momentum. In this Letter, the nuclear modification
factors $R_{\rm AA}$ for inclusive J/$\psi$, measured in the centrality range
0-90% as well as in the centrality intervals 0-20% and 20-90% are presented.
The $R_{\rm AA}$ values are compared to previously published results for Pb-Pb
collisions at $\sqrt{s_{\rm NN}}= 5.02$ TeV and to the calculation of a
transport model. A good agreement is found between Xe-Xe and Pb-Pb results as
well as between data and the model.
