According to a recent leaked test ROM, both devices will skip the initial Jelly Bean rollout, and move directly to the 4.1.2 version. The update is set to bring all the well-known Jelly Bean goodies, as well as some of the Note II features.
We already have official confirmation from Rogers (Canadian carrier), saying that the JB 4.1.2 update will reach the S II and Note II in late January.
Now, if we take under consideration that unlocked models always receive new firmware before the carrier-locked ones, this means that an early January rollout seems almost sure.
As for Galaxy S III users, they're also expecting the 4.1.2 update availability to expand beyond the borders of Poland and Germany. This should happen around Christmas.