We present ultra-high-resolution dilatometric studies in magnetic fields on a quasi-two-dimensional organic conductor κ-(D8-BEDT-TTF) 2 Cu[N(CN) 2 ]Br, which is located close to the Mott metal-insulator (MI) transition. The obtained thermal expansion coefficient, α(T ), reveals two remarkable features: (i) the Mott MI transition temperature T MI = (13.6 ± 0.6) K is insensitive to fields up to 10 T, the highest applied field; (ii) for fields along the interlayer b axis, a magnetic field induced (FI) phase transition at T FI = (9.5 ± 0.5) K is observed above a threshold field H c ∼ 1 T, indicative of a spin reorientation with strong magnetoelastic coupling.