The magnetic fields that arise from ballistic currents in single-molecule junctions can in the special cases we identify here locally reach the strength of the magnetic field used in NMR spectroscopy. The current-induced magnetic field in a single-molecule junction can thus reach a range where the magntic properties of nuclei and electrons are affected to an extend where we expect it to have experimentally measurable consequences. There is currently no experimental setup that allows NMR or electron paramagnetic resonance (EPR) spectroscopy in single-molecule junctions, but our results suggest such measurements may produce novel insight should it become experimentally viable in the future. The highly local nature of the current-induced magnetic fields we explore in this study, furthermore opens the question of whether it is an important effect for magnetoresistance and spin selectivity experiments, such as the CISS effect. Finally, the helical movement of electrons are inherently linked to optical activity and spin-orbit coupling through transient magnetic coupling. In the future, these fundamentally linked effects may be probed in single-molecule junctions if new experimental setups can be developed and suitable molecules can be synthesized. Such a setup may require both direct probing of the magnetic response of molecules, such as in current NMR and EPR experimental setups, and, as we have demonstrated here, a gate electrode to control the bias window in order to achieve strong ring currents at low bias.