How fast do the poles of Jupiter and Saturn precess?

As Jupiter and Saturn have very fast rotation periods, about 10 and 11 hours, respectively, I am assuming that their poles will precess much faster then Earth. Since Earth's poles precess every 26000 years, I think Jupiter and Saturn would have a precession time of about ~10000 years or so. Is this estimate correct or am I way off?

What you’re looking for are on pages 22 and 23 and are the mathematical formulas for the direction of the North poles of Jupiter and Saturn. These start by $$\alpha_0$$ and $$\delta_0$$ and are rather long for Jupiter, quite short for Saturn.