Unable to link my Steam account (it’s linked to an old deleted Hotmail account)

Hi folks! I’m trying to link my Steam account to my EA account, but I’m getting the following error message:

“Your accounts can’t be linked because your Steam account XXXX already linked to your EA Account for *******@hotmail.com. An EA Account can only be linked to one Steam account in its lifetime.”

The problem is that the Hotmail account  no longer exists, I closed that email account a long time ago and I no longer have access to it, so I cannot receive the verification codes required to log into that EA account.

Because of this, I’m unable to unlink the Steam account or link it to my current EA account.

Could someone from support please help me remove the old EA account link or transfer the link to my current EA account? 

Thanks