The 37-year-old has been sidelined since sustaining a hamstring injury during his team's 2-0 triumph over Napoli on October 18.
A statement from Roma read: "Francesco Totti underwent tests this morning which showed the hamstring injury he suffered against Napoli is improving.
"The captain will continue physiotherapy and will be assessed again in the next 7-10 days."
Totti is expected to miss two more league games but could recover in time to play against promoted Sassuolo on November 10.
Roma, who lead the Serie A standings with a five-point advantage over Napoli and Juventus, take on bottom-side Chievo on Thursday riding a nine-match winning streak