The 41-year-old actress - who has played Black Widow in the Marvel Cinematic Universe (MCU) for almost a decade - is reportedly in talks with DC Studios and director Matt Reeves for a part in the upcoming comic book tale, which will see the return of Robert Pattinson as the Caped Crusader.
Sources told Deadline that Johansson is in "final negotiations" about the project, though it is not known which role she would play.
The news comes shortly after the Jurassic World Rebirth star signed up to star in a new Exorcist film for Blumhouse and director Mike Flanagan, and she and her team had been trying to work out how she could tackle both movies but her schedule is now believed to have been settled.
Meanwhile, Johansson believes women in Hollywood are held to higher "standards" than their male counter-parts.
The Lost in Translation star opened up about the issues facing female stars in the movie industry declaring "It's still tough" because "There's so much more expected" of actresses and they struggle to get their careers back on track if they are hit by a scandal.
She told The Telegraph newspaper: "I think it's still tough. There have always been great roles in Hollywood for women. But the standards are tough.
"In general, there's so much more expected of female actors.
"If a female actor had experienced, let's say, a huge addiction, or a public fall from grace, the road to getting back for them is almost impossible to pave, right?
"Whereas for men, it's just another dramatic twist in the story, and then it's on to the comeback. For men, it can be almost heroic. But for women, it's like you just disappear."