  Measurements of thermal diffusivity \k{appa} (using laser flash analysis) for
temperatures from 100 {\deg}C to 1200 {\deg}C and of the inversion parameter x
(using X-ray analysis) for the single crystal spinel MgGa2O4 have been
performed. X-ray analysis showed a small change in x for samples annealed at
800 {\deg}C (x = 0.838) and 1200 {\deg}C (x = 0.834). Thermal diffusivity
revealed a significant rise of \k{appa} for temperatures higher than 950
{\deg}C, deviating from the typical 1/T drop of \k{appa}. An additional
systematic rise of \k{appa} with time is observed for temperatures between 950
{\deg}C and 1100 {\deg}C. A connection between cation disordering processes
typical for spinels at elevated temperatures and the observed deviation of
\k{appa} is proposed: Data indicate that cations changing their occupancy site
at equilibration processes contribute significantly to \k{appa} and therefore
represent a new type of heat transport.
