The Tampa Bay Buccaneers quarterback, 44, has won seven Super Bowls in an astonishing career spanning 22 seasons.
It was widely reported on Saturday evening that he had decided to retire, but his company TB12 Sports then deleted a tweet confirming the news.
And later, speaking to the NFL Network, Brady's father Tom Brady Sr said his son had not yet "made a final decision".
Brady, a five-time Super Bowl Most Valuable Player, won six titles with the New England Patriots before his final triumph with the Buccaneers last year.
