gSlider is an efficient, super-resolution, technique to achieve submillimeter diffusion MRI data circumventing the trade-off between image resolution and SNR. Yet, the long acquisition time is still an issue. In this work, we extend gSlider by allowing under-sampling both in q-space and Radio-Frequency (RF)-encoded data, achieving then shorter acquisition time that gSlider. Our method, gSlider-SR, uses a basis of Spherical-Ridgelets to exploit the redundancy of the dMRI data, while at the same time enhancing SNR. We demonstrate that only ten minutes are needed to reconstruct 64 diffusion directions (b=2000s/mm2) at 860 μm data with reliably signal preservation.