Bravo has spent the majority of his four-year stay at the Etihad Stadium as deputy, making a total of 60 appearances in all competitions.
However, with just a month remaining on his contract, the 37-year-old is expected to depart the Premier League outfit at the end of the campaign.
According to The Times, Celtic are contemplating whether to make a move for the Chilean, who seems set to become a free agent.
At the back end of his career, Bravo is likely to be looking for regular first-team football. body check tags ::