The Chelsea legend is keen to rejoin his old club after Shanghai Shenhua’s season came to an end.
Drogba, 34, has already ruled out a Premier League return to thwart Liverpool, who were plotting a loan move.
Instead Drogba wants to maintain his fitness at Stamford Bridge – provided he can iron out an insurance agreement with the Chinese club.
The Ivory Coast striker is due to play in the African Nations Cup in January.
Drogba said: “It will first be necessary that I ask permission to Shanghai and Chelsea also.
“If everyone agrees, it is possible I will go and train there until the African Cup starts.
“But that is all it will be.”