A detailed understanding of the diffusion mechanisms of ions in pure and doped ionic liquids remains an important aspect in the design of new ionic liquid electrolytes for energy storage. To gain more insight into the widely used imidazolium-based ionic liquids, we examined the relationship between viscosity, ionic conductivity, diffusion coefficients, and reorientational dynamics in the ionic liquid 3-methyl-1-methylimidazolium bis(trifluoromethanesulfonyl)imide (DMIM-TFSI) with and without lithium bis(trifluoromethanesulfonyl)imide (Li-TFSI). The diffusion coefficients for the DMIM+ cation as well as the role of ion aggregates were investigated using the Quasi Elastic Neutron Scattering (QENS) and Neutron Spin Echo (NSE) techniques. Two diffusion mechanisms are observed for the DMIM+ cation with and without Li-TFSI, that is, translational and local. The data additionally suggest that Li+ ion transport along with ion aggregates, known as the vehicle mechanism, may play a significant role in the ion diffusion process. Our dielectric-spectroscopy investigations in a broad temperature and frequency range reveal a typical --relaxation scenario. The relaxation mirrors the glassy freezing of the dipolar ions while the relaxation exhibits the signatures of a Johari-Goldstein relaxation. In contrast to the translational mode detected by neutron scattering, arising from the decoupled faster motion of the DMIM+ ions, the relaxation is well coupled to the dc charge transport, i.e., the average translational motion of all three ion species in the material. The local diffusion process detected by QENS is only weakly dependent upon temperature and viscosity and can be ascribed to the typical fast dynamics of glass-forming liquids.