A £9.5million buy from Lokomotiv Moscow in 2008, Ivanovic is now hoping to finish his career with the Premier League outfit.
A source close to the player told the Daily Star Sunday: "All being well, Branislav would like to be a Chelsea player for the remainder of his playing days at the highest level.
"He is definitely staying at Chelsea. He loves Mourinho's style and is keen to play for the new coach.
"He has been told that he does have a future at the club and, while there was the possibility of him going to Barcelona, he is happier staying in London."