Guardiola's current deal is running down this season, with doubts emerging over the Catalan's future in England.
However, the Athletic's David Ornstein is reporting there is now a belief inside City that Guardiola is close to settling on a new deal.
Guardiola would agree to a 12-month extension, so taking him into season 2025/26. A deal could be signed next month.
Last week, regarding his situation, the manager said: "I want to be really, really convinced that it's the best for the club.
"I will not delay an action knowing that I am creating a problem for the club.
"If I feel there is a problem right now, I will take a decision as quickly as possible. But I don't have that feeling because they understand the reasons that I have."
