The One Who Knocks
Member
... That's also the one I'm talking about.
Ok, I apologise profusely for misunderstanding. I had
confused the NG run with the NG+ run. What you should do in this case is to proceed as normal onto the ledge. However, roll to the side, do not go forward. The Asylum Demon should not have enough time to attack you before you recover, at which point you can roll away, drink an Estus to recover the fall damage and you can fight as normal.