Jovanovic is out of contract at the end of the season and can join Liverpool on a free transfer.
Valencia, AC Milan and Juventus were also reportedly interested in signing the 28-year-old.
“We have spoken with Rafa Benitez and he convinced us about his project for the club,” Stojadinovic told the Daily Mirror.
“Milan speaks the language and adaptation will not be a problem for him when he moves to England.”