The 27-year-old Arsenal midfielder is now working on a strict rehabilitation programme and started running again last week.
Diaby has not played since March, but he has his sights set on a return to action in late February at the latest which could help his dreams of making Didier Deschamps' 23-man squad for Brazil.
"If I would be a surprise call-up for the 2014 World Cup squad, then why not?" Diaby told French daily sports newspaper L'Equipe.
"Playing in Brazil is obviously a dream, but first I would like to be back playing with my club no later than the end of February or early March.
"At the moment, I am in Clairefontaine working on my rehabilitation and I hope to touch the ball again very soon. Anyway, I will take my time getting back to full fitness."