We propose that future experiments aiming at the detection of deviations from the 1 / r ^ { 2 } gravitational law on submillimetric scales can be used to test the modified Newtonian dynamics theory ( MOND ) . Current experiments are able to test the gravitational field of masses m \approx 1g at distances r \approx 200 \mu m , implying that they are probing accelerations well above the MOND limit ( a _ { 0 } \approx 1.2 \times 10 ^ { -8 } cms ^ { -2 } ) . We show that MONDian effects begin to be important at the submillimetric level for masses m \leq 1 mg. MOND makes predictions that are clearly distinguishable from those expected in a scenario with compact extra dimensions . This will enable direct confrontation between the two theories if future experiments can improve their mass scales to the milligram level .