A FlyerTalk Posting Legend
Join Date: Sep 2012
Location: SFO
Programs: AC SE MM, BA Gold, SQ Silver, Bonvoy Tit LTG, Hyatt Glob, HH Diamond
Posts: 44,384
The upgrade will almost certainly not be available until 2 weeks before departure.
However, you can also book K on EVA, which is eligible. I believe (though I'm entering unfamiliar territory) that this is premium economy, and is not too expensive. So then even if you can't upgrade, you have a decent seat.