Diffusion in the extracellular space is assessed by state-of-the-art diffusion-weighted MRS techniques following intracerebral injection of sucrose, which predominantly remains in the extracellular space. Sucrose diffusion appears to be not strictly Gaussian and different from intracellular metabolites diffusion. Signal attenuation is stronger and deviates from mono-exponential attenuation at very high b-values, suggesting the presence of some highly restricted pool. The ADC is higher and decreases when augmenting td, indicating that the tortuosity regime is not reached yet. Lastly, unlike intracellular metabolites, sucrose diffusion does not exhibit microstructural anisotropy in double-diffusion-encoding experiments.