The 61-year-old star was asked during a screening of his latest directorial "Hacksaw Ridge" that if it is "close to a deal", reported AceShowbiz.
To which Gibson replied, "It's kind of a first date."
If the director inks the deal, he will replace David Ayer, who is now moving on to an all-female DC villain movie "Gotham City Sirens" starring Margot Robbie.