The Clarets boss had many tasty battles with the Reds while he was Manchester City captain and he believes Jurgen Klopp's current side are almost on a par with their past great teams.
"If I compare the Liverpool teams I played against and the Liverpool team we're seeing now they are there or thereabouts again," Kompany said. "It's not to do with the results. It's how the team moves, the confidence they have when pressing on the front foot.
"The players are still getting integrated, [but you see] how quickly they have assimilated the ideas of the better Liverpool teams of recent times.
Kompany never tasted victory against Klopp as a player at Anfield but insists he is hopeful of finding success on Merseyside as a manager.
When asked about the impact of Klopp announcing his decision to depart at the end of the season, Kompany could not commit to an opinion.
"It happened to me a couple of times but it's different everywhere so it's difficult to say," he said. "I can't go and make any statements on how they're going to finish the season. We'll find out when we find out.
"But also it's not much my concern. I wish him and them, after our game, as much good fortune as they need."
Commentary of Liverpool v Burnley on BBC Radio 5 Live from 15:00 GMT on Saturday