We have measured the temperature dependence of the nuclear spin-lattic
e relaxation rate 1/T-1 and the nuclear spin-spin relaxation rate 1/T-
2G due to indirect nuclear coupling for Cu-63 NQR in the spin-Peierls
(SP) compound CuGeO3, which undergoes the SP transition at T(SP)simila
r to 14 K, using a single crystal. We perform a combined analysis of 1
/T-1 and 1/T-2G on the basis of theoretical results recently obtained
for the S=1/2 one-dimensional Heisenberg antiferromagnet (1DHAF) model
to clarify the spin dynamics. Consequently we find that the spin dyna
mics above T-SP in CuGeO3 is not described by the pure S=1/2 1DHAF mod
el.