In supersymmetric SO(10) with large tan beta and Yukawa coupling unifi
cation lambda(t) = lambda(b) = lambda(tau), we compute the rates for l
epton flavour violating processes. Experiments in progress or foreseen
for mu --> e gamma, mu --> e conversion (and the dipole moment of the
electron) are shown to provide very significant tests of the theory f
or all slepton masses up to about 1 TeV.