T2*-weighted imaging is an important diagnostic tool to evaluate normal and pathological tissues due to its sensitivity to iron deposition. This comes with high sensitivity to magnetic field inhomogeneities within a voxel, resulting in susceptibility artifacts. These artefacts are largely reduced at higher resolutions; high-resolution protocols however lead to clinically unfeasible scan times with multi-echo gradient echo sequences. Here, we propose a compressed sensing multi-echo GRE acquisition for 7T to obtain 0.8 mm isotropic R2* maps of the whole brain in <7 minutes and with substantially reduced artefacts. Preliminary qualitative and quantitative validations are performed on healthy subjects.