Hey emirjarnsida,
You cannot transfer that progress to another PSN account, however. Once you've linked a platform to an EA account, you won't be able to link a second account from that same platform, which is what's happening here.
You're able to access it through the same PSN account that's already linked to this EA account, so if you're going to lose access to that PSN it would be best to contact PlayStation Support instead. That way they'll be able to help update the email address so you don't lose access to the account.
If you have a brand new PSN account, that needs to be linked to an EA account that has never had a PSN linked in the past. Otherwise, if you're wanting to access everything on this particular EA account, it would be best to just update your current PSN so you can continue having access to it that way.