Drogba’s current contract is set to expire at the end of the season and the Blues have reportedly offered the 33-year-old a 12-month extension.
He told the Sunday Mirror: “I said a few years ago that I will be here until the end of my contract. But I would like to finish my career here. We are continuing talks.
“Everybody knows what I feel about Chelsea and what I want.”
Chelsea manager Andre Villas-Boas added: “He knows our offer and he has made a counter offer.
“We are now waiting on things.”