Reports claim Rodgers will be sworn in at Parkhead next week.
Nigel Worthington, a former player and manager himself, believes the 43-year-old would stick to his attacking principles at Parkhead, despite previous failures.
Rodgers was sacked by Liverpool in October, having won three of his eight league fixtures in 2015-16 and possessing a goal difference of minus two.
Instead, Worthington would expect the Bhoys to emulate Rodgers' Reds side of two years earlier, which scored over 100 league goals and was widely regarded as England's most attractive offensive outfit.
"One thing you know about Brendan is that his team will play a passing game. He’s got his principles and beliefs," Worthington said, as quoted by the Glasgow Evening Times.
"If you go back to his days at Watford, Reading and Swansea, his sides have always passed a ball.
"I think Brendan would play a 4-3-3 formation at Celtic and have two wide players really bombing forward. He would also have two midfielders coming up behind in support of the strikers. I would imagine he will continue to play a very attack-minded game.
"As well as being tactically astute, Brendan excels at the man management side of the job. He will keep the Celtic players buoyant. He understands the psychology of the game. He knows when a player needs an arm over their shoulder and a cuddle and when he needs to be sterner and give them a telling off."
Rodgers is the odds-on favourite to replace Ronny Deila at Parkhead, and the Daily Mail reports the Bhoys plan to unveil him by Tuesday.
The Ulsterman failed to win a trophy in three and a half seasons at Anfield, though they narrowly missed out on a first league title in 24 seasons under him.
Previously a coach at Reading and Chelsea, Rodgers made his name in the Championship with Watford, and led Swansea to promotion via the play-offs in 2011.