Speaking to MTV, the actress revealed that she wants to add Burton to the list of A-list directors she has collaborated with.
"I would love to work with Tim Burton. I am a huge Tim Burton fan," she said.
Johansson has previously appeared in films by Woody Allen, Christopher Nolan, Brian De Palma and Sofia Coppola.
The 24-year-old also hinted that she may take time out from acting to work behind the camera.
"It's kind of the first time in a while that I don't really know what I'm going to be doing," she said. "But I directed a segment for New York, I Love You. That's going to be coming out. I'm hoping to do more development, production and direction. Stuff like that."