VMC proper motions as a function of their corresponding Gaia DR2 proper motions for all stars of the cross-matched catalogues. Regions of highest density correspond to the MCs. They are visible as two vertical features in both panels. The left feature corresponds to the SMC (top: ∼1.2 mas yr⁻¹, bottom: ∼−1 mas yr⁻¹), while the right feature represents the LMC (top: ∼2 mas yr⁻¹, bottom: ∼−0.5 mas yr⁻¹). The red dashed line shows the one to one correlation and the median VMC proper motions are shown in blue.