11:19 AM PT -- That didn't take long ... Tom Brady has already liked AB's apology post on Instagram.
Oh, and sources close to AB tell us the apology is mostly geared toward things he's said and done on social media ... not the sexual assault allegations.
Our source also says AB desperately wants to play football again and is willing to do whatever it takes to convince owners he's worth taking a chance on.
Antonio Brown just issued a massive apology for his off-the-field behavior -- but there's one huge problem with his mea culpa .