The cause of the problem was not 'immediately' clear. [=is was not known right away]
They live in the house 'immediately' [='directly'] behind this one.
We need to leave 'immediately'. [='at once', 'right away']
(..) Thank you for dinner and a very pleasant evening. Maybe your car can take me to the airport. Mr Corleone insists on hearing bad news immediately. - You're not too tired, are you, Tom? - No, I slept on the plane. I have the Sollozzo notes here. Now... Sollozzo is known as The Turk. (..)1972 The Godfather