The application of high-resolution MRSI at 7T to the measurement of brain tumours was recently shown with preliminary data. In order to better resolve the glioma structure and metabolism for clinical use, a further increase in resolution over the currently achievable would be necessary. This can be achieved by the application of modern image up-sampling techniques. Therefore, we demonstrate the successful application and benefits of one such technique, patch-based superresolution, to 7T MRSI maps in glioma patients. Our results show the resolution of metabolic hotspots with unprecedented detail.