The Avengers star is expected in the capital next month to begin working out of the Stone Street Studios in Miramar, Fairfax reported.
Johansson will be moving into a house in Seatoun - a rumour confirmed by her soon-to-be neighbours.
One said many stars moved to the eastern suburb, so he was used to having them in the neighbourhood.
"During [the filming of] The Hobbit, we had lots of A-listers sniffing around. They were looking at putting old-what's-his-name in here ... Gandalf [Sir Ian McKellen]," he told Fairfax.
"Another one came past here - Orlando [Bloom, who played Legolas the elf] -- and was going to move in there," he said, pointing to the house next door.