The 35-year-old believes that the Rossoblu striker could go on to become an excellent footballer in years to come, and hopes that a deal can be struck to bring him to the capital
The 20-year-old, who was selected as part of Italy's preliminary squad for Euro 2012, caught the eye with his performances last season for Siena, who co-own the player.
He has since been widely linked with a move to one of Serie A's top clubs, and although his transfer to the Italian capital looked to be a done deal, Genoa CEO Pietro Lo Monaco claimed that Juventus had turned the player's head with a lucrative offer.
However, the veteran Giallorossi captain is still hoping that the Italy Under-21 international will soon arrive at the Stadio Olimpico.
"I hope we can get Destro," he admitted at a press conference. "We're talking about a very promising young man here.
"The atmosphere at Siena is very different to that of Roma, but I think that within a couple of years, he could become a top player."
Totti went on to comment on his current state of fitness, and says that he will soon be comfortable with returning coach Zdenek Zeman, who took up the reins at in Rome this summer over a decade after leaving the post.
"The coach told me that I'm in better shape now than I was 13 years ago, but I think he was joking," he added. "My role? I'll play where the coach tells me to. I have always adapted, and will do so again."