The France forward ruptured his left thigh tendon in September, just weeks after joining the Liga giant for $A168 million from Borussia Dortmund.
The 20-year-old was back visiting his old side Rennes at the weekend.
And, in a video posted by Canal Plus, the youngster told employees of the Ligue 1 side that he expects to step up his rehabilitation further early next month.
"It's okay, two more weeks I think," he said.
"And after [that] I go [to train] with the group."
Despite losing Neymar to Paris Saint-Germain in August, Barca have coped well in Dembele's absence, Ernesto Valverde leading the team to top spot in LaLiga, four points clear of second-placed Valencia.
If his recovery remains on schedule, Dembele could be available for the first Clasico of the Liga season against Real Madrid at the Santiago Bernabeu on 24 December.