Talks over a new contract for the 26-year-old are ongoing, as his current deal is set to expire at the end of the season.
“I want to stay here. I hope it will be sorted out soon,” he said.
“I don’t like to speak publicly about it but I hope I will stay at Chelsea.
“We are talking about my new contract and I want to stay but we will see in the next couple of weeks. I don’t want to say anything wrong. Things are going the right way.”
Ivanovic has recently been linked with Italian giants Juventus and AC Milan.