"I feel young even if I am 31. I want to run and I am not tired so I will do everything to score 200 goals for Chelsea," said Drogba who reached his century last month.
"If I am in good health and don't have any injuries I can do it and if I do it, I also want some trophies around me and around the team, the Champions League especially and the Premier League as well," he told the club's website (www.chelseafc.com).
"It is important for me and for the club."
Tambling achieved his goal tally in 370 appearances in all competitions for Chelsea between 1958-70.
Drogba, who joined the Londoners from Olympique Marseille in 2004, has been in sparkling form this season under new manager Carlo Ancelotti.
His eight league goals have helped Chelsea take a two-point lead at the top of the Premier League.
Having signed a contract extension until 2012, Drogba is hoping to add to his two Premier League winners' medals plus earning Champions League glory having finished runners-up in that competition in 2008.
Chelsea, though, will be unable to call on Drogba, Salomon Kalou, John Obi Mikel and Michael Essien during the African Nations Cup at the start of 2010.
"I am concerned (about January) because Chelsea is my team but at the same time I know the club is going to find a way to keep winning the games without us," said Drogba.
"As much as we want to go to Africa and represent our countries, we want to be back here soon and playing again with Chelsea."
(Editing by Tony Jimenez)