In Li0.6TiO2 the longitudinal muon spin relaxation function has been measured for temperatures between 10 and 600 K. The mu SR spectra were analyzed with a Markov process for multiple collisions. The time scale found for the Li+ diffusion is of the order of the microsecond or shorter. Above T=100 K the magnetic field distribution at the muon is decreasing with increasing temperature. (c) 2005 Elsevier B.V. All rights reserved.