  Optical conductivity spectra $\sigma_1(\omega)$ of paramagnetic CaRuO$_3$ are
investigated at various temperatures. At T=10 K, it shows a non-Fermi liquid
behavior of $\sigma_1(\omega)\sim 1/{\omega}^{\frac 12}$, similar to the case
of a ferromagnet SrRuO$_3$. As the temperature ($T$) is increased, on the other
hand, $\sigma_1(\omega)$ in the low frequency region is progressively
suppressed, deviating from the $1/{\omega}^{\frac 12%}$-dependence.
Interestingly, the suppression of $\sigma_1(\omega)$ is found to scale with
$\omega /T$ at all temperatures. The origin of the $% \omega /T$ scaling
behavior coupled with the non-Fermi liquid behavior is discussed.
