The 26-year-old defender, who scored one and made the other in Saturday's 2-0 Barclays Premier League win over Blackburn, has just 18 months left on his current deal.
Talks over extending it have dragged on for some time, while AC Milan and Juventus are reportedly interested in the Serbia star.
But Ivanovic said: "I want to stay and I hope it will be sorted out soon.
"We are talking about my new contract but we will see in the next couple of weeks.
"I don't want to say anything wrong. I hope things are going the right way. This is all I can say."