But agent Thierno Seidy is confident Chelsea will now pull out all the stops to keep Drogba after his goals this week helped lead them to the FA Cup final and a Champions League semi-final first-leg win over Barcelona.
"Talks are going on with executive director (Ron Gourlay), and we will take stock with him before the end of the season," Seidy told L’Equipe.
"I believe what Didier is currently showing will lead the club to a new thought.
"Didier loves Chelsea and he wants to stay, but if things have to happen another way, he will leave. This time, we can make the decision by ourselves.
"Didier will be a free agent at the end of the season, so he is master of his own fate to sign his last contract."
Seidy ruled out Drogba staying in England if he did quit Chelsea.
He said: "We have a lot of offers from everywhere.
"But one thing is for sure, if Didier will play in England next season, it will be at Chelsea and nowhere else."