The 36-year-old made his league debut for the Giallorossi 20 years ago and has since found the net a total of 227 times in the Italian top flight.
“If I am in a position to do so, I am convinced that I will reach ," Totti told La Gazzetta dello Sport. "[If I had played as a striker] I would have reached 300 a long time ago."
His equalizer in Monday's Derby della Capitale drew him level with Dino da Costa and Marco Delvecchio on nine goals in the fixture and Totti said he was honored to reach another career milestone.
"It's the record that I care most about," Totti added.
Should Roma get past Inter in the Coppa Italia semifinal on Wednesday, Totti will have another chance to score against Lazio once more in the competition's final.
Totti assisted on the game-winning goal in Roma's 2-1 victory over Torino on Sunday, a win that keeps Roma in contention for a place in the Europa League next season.