I have been here almost 2 years on 330/340 fleet.
I don't think I will get an upgrade on the 380/350 for another 5 years minimun!
(that's my personal guess, could be more!)
Even if you join direct F/O on the 380 now, there is already way too many F/O ready to upgrade, add on that, all the 330/340 captain waiting for a fleet transfert and the 100ish captain they just transfert from the 777.
If you are only looking to come for a quick upgrade, just forget EK or at least the Airbus fllet both 330/340 and 380!
Have fun.