The process of spin diffusion within the double-exchange model is studied o
n a Bethe lattice in infinite dimension at T=infinity. In the absence of el
ectron hopping, the spin-current correlation function oscillates with a per
iod inversely proportional to the Hund's coupling and the spin-diffusion co
efficient D vanishes. Electron hopping causes the correlation function to d
ecay with time and yields a value for D proportional to the electron bandwi
dth.