The Ivorian forward has been continually linked with a move away from Stamford Bridge, but does not plan to join Alex and Nicolas Anelka in leaving the west London club
The Ivorian has been linked with a move away from the club during the January transfer window, potentially joining defender Alex and forward Nicolas Anelka, whose transfer requests were recently accepted by the Blues.
But Drogba asserted he intends to see out his contract after opening the scoring in his side's 3-0 victory on Saturday.
"I always said that I will honour my contract with Chelsea until the very end," he told Canal+. "And for the moment, the end is in 2012.
"But, I am fine here and my personal case is not an important factor for me at the moment.
"The important thing is to try and get Chelsea back to the summit of the Premier League."
After losing to rivals Arsenal and Liverpool in recent home matches, the Stamford Bridge side needed to bounce back with three points to alleviate the pressure on manager Andre Villas-Boas.
"We are not in a good moment so it was difficult to come here, but the team put in a good reaction today," he said.
Chelsea playmaker Juan Mata added: "This result gives us a lot of confidence going into the Champions League match against Valencia.
"I am very excited about today's victory in such a tough stadium."