Effective use of transcranial electrical stimulation (TES) in clinical and neuroscience applications requires the exact knowledge of TES currents. MRCDI uses MRI to measure the TES-induced magnetic fields for estimating the underlying current flow distributions. Their accuracy highly depends on the sensitivity and spatial resolution of the MR measurements. Here, we propose an advanced gradient-echo-based MRCDI method utilizing an optimized spoiling, acquisition-weighting, and navigators to achieve a noise sensitivity of 84pT at 2×2×3mm3 resolution for a total scan time of less than five minutes. We test the method's performance by phantom and human in-vivo experiments for two TES injection profiles.