Will Jupiter's days speed up?

Jupiter has so many moons, and those moons have a gravitational pull on it. Does that mean, that over time, the length of Jupiter's days will get shorter?

A moon that has an orbit below the synchronous orbit $$a_{synch}=\sqrt[3]{GM_{Jupiter}T_{Jupiter}^2/4\pi^2}$$ (for Jupiter, 160,000 km) will move around the planet faster than it rotates and hence cause a tidal bulge that trails the moon, pulling at it (making the moon slowly spiral in) while speeding up the rotation of the planet. Only Adrastea and Metis are in this position, and they are tiny.
In practice there is a lot of interaction here: the tidal bulges affect all moons, and the moons also affect each other and have orbital resonances. Io, that has the largest tidal effect (since the tidal force $$\propto m/a^3$$ is largest), has an elliptic orbit that means it is alternately speeding up and slowing down.