The 33-year-old Ivorian international is entering the final six months of his contract in west London, and Blues boss Andre Villas-Boas is yet to offer the striker a new deal.
Drogba is currently away on African Cup of Nations duty, but has been in the headlines after reportedly being offered a lucrative three-year deal to sign for Shanghai Shenhua in China.
The offer is said to be worth £267,000-a-week, but despite the huge increase in salary, Drogba is keen to stay at Chelsea.
"I would like to find again more fun, shivers, fervour, pressure and passion on the pitch," he told France Football magazine. "That makes fun in our job and I have missed a little for the last months.
"Does it mean departure from Chelsea? Not before next June."
Drogba admitted he has not been enjoying his football as much as in the past, and as talks over a new deal continue to stall, his future has been cast into a shadow of doubt.
The main sticking point is understood to be the length of contract, with Drogba holding out for a two-year extension, whereas Chelsea are only prepared to offer a new 12-month deal.