FMC,
In another 700 hours you can apply to EK, they will most likely put you on the T7, that is assuming you pass the screening of course. But you will have to complete the required 4000TT before joining. I too applied for FO T7 at EY (3300TT, 2000+ on 763ER) and nothing as of yet. But flying 80-90 a month so not long to go for EK.....Best of luck!
Regards,
OW
PS. Dont forget about the whole CCQ business on airbus which makes it really easy to transition between aircraft, not the case for Boeings, where full TR courses are required.