They don't all need to go back into the past immediately.
He went to her room immediately on his return, more than an hour ago.
A number of people immediately went down to see what was going on, myself among them.
When we got to the house she went to bed immediately.
"And yet he immediately went into business doing the same thing."
She moved away from the bed but didn't go immediately toward the hall door.
"Did you go to bed immediately after going to your room?"
I think Guy should go up there immediately and try to bring her back.
I went immediately to them, and talked the matter over.
Let me immediately go to the situation as it is today.