gSlider is an SNR-efficient acquisition technique for high-resolution diffusion imaging (dMRI). However, subject motion is inevitable during long scans in high-resolution dMRI, leading to potential for artifacts and blurring. In this study, Motion Corrected gSlider (MC-gSlider) is proposed to obtain high-quality dMRI in the presence of large in-plane and through-plane motion, without use of a navigator. A motion-aware reconstruction with spatially-adaptive regularization is developed to achieve good reconstruction, even under difficult through-plane motions. MC-gSlider was demonstrated in-vivo to provide motion-robust, sub-millimeter isotropic dMRI with a motion correction rate of 2s, allowing for good reconstruction in the presence of large motions.