Not likely I'm afraid.
Still a surplus of Second Officers at the moment.
There seems little hope, in the immediate future anyway, for any sort of progression, so current S/O's look like they will be there for a while. Some are even considering contracts with O/S carriers under LWOP....I know I am
Company is currently hiding S/O's on the 380, so I can't see any new hires for some time to come.