City opted not to sign a replacement when Kompany left at the end of last season and Aymeric Laporte is not expected to return for at least another two months after sustaining a knee injury in September.
Guardiola has been left with John Stones and Nicolas Otamendi as his only two senior center-backs and has been forced to deploy Fernandinho in the role at times this season.
City has looked shaky defensively in recent weeks, keeping only one clean sheet in six games in all competitions, and their concerns at the back were laid bare in Sunday’s 3-1 defeat to Premier League leaders Liverpool at Anfield.
Kompany, though, does not think the solution is to spend big money on reinforcement in the transfer window.
“I don’t think they need to sign another defender,” he told Sky Sports.
“We always struggle at Anfield. I said that on Super Sunday: you’re fighting 25 years of not winning at Anfield and that’s difficult, it’s two games in one game – you’re playing a great team and you’re fighting history.
“Flip it around and the same will happen for Liverpool – they will fight the history of not winning the league for 30 years.
“That should be to City’s advantage I still think. As to the defence, the best way for City to defend in the past has been to attack. They have no reason to change that.
“As soon as they start reconnecting with the best performances, I’m convinced that we can see a sustainable amount of wins.”
The defeat, which leaves City nine points behind Liverpool in the table, was not without its controversy.