Despite being 38, the Ivory Coast international has been a revelation – scoring 23 times in 38 appearances.
However, Drogba has now confirmed he will not be renewing his contract, which expires in December.
“My contract ends at the end of the season and I won’t be returning,” Drogba said after Montreal’s 3-2 MLS Cup first leg defeat to Toronto FC.
“I want to end things well, out of respect for everything the people here, the city, have given me.
“I was disappointed with the result, but we will do everything to qualify to the final.
“I don’t think the adventure will end in Toronto.”
In what would be a fitting end to his time in America, Drogba also set his sights on reaching the MLS Cup final.
“I had one and a half years of good emotions. I think we made history,” Drogba added.
“And when I came I here for the first time, last season we played against Columbus in the semifinal and this year we’re in the conference final, so it’s a good progress.
“I’m quite happy with the way things are going and I think I kind of reached the target, but there’s still more work to do.
“There’s still 90 minutes to play and a lot of things will happen in those 90 minutes. I hope we’re going to be happy by the end of it.”
It is unknown whether Drogba will opt for a final swansong elsewhere or bring the curtain down on a successful career.
The striker won 12 major honours at Chelsea during two different stints at Stamford Bridge.
Among those was the Champions League in 2012 where – having scored late to equalise against Bayern Munich – he then converted the winning penalty in the shootout.