  We calculated the nuclear spin-lattice relaxation rate $1/T_1$ for the D+iD
superconducting state with impurities. We found that small amount of unitary
impurities quickly produces the residual density of states inside the gap. As a
result, the T-linear behavior in 1/T$_1$ is observed at low temperatures. Our
results show that the D+iD pairing symmetry of the superconducting state of
Na$_{0.35}$CoO$_{2} \cdot y$H$_2$ O is compatible with recent $^{59}$Co 1/T$_1$
experiments of several groups.
