Ivanovic who is also wanted by West Ham United has been offered £80,000 a week to join Zenit St Petersburg but would prefer to stay in the Premier League.
Branislav Ivanovic could leave Chelsea this month
Antonio Conte refused to rule out Ivanovic leaving Chelsea
"I don't know if anything happens about him," said Conte.
"There are four days (remaining of the transfer window) and, in this month, there is a lot of speculation."
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GK: Asmir Begovic – 7: Made some great saves for a deserved clean sheet
The 32-year-old has been at Chelsea for nine years and has won the FA Cup twice and has a Champions League winners' medal from 2012.
West Brom are also reportedly interested in signing the Serbia international.