Kompany confirmed his departure as Anderlecht boss on Wednesday after spending three years at the club, and is now set to be appointed by the relegated Premier League club.
Kompany returned to Anderlecht in 2019, firstly as player-manager before he announced his retirement from playing a year later to focus on coaching.
The 36-year-old is still in the infancy of his managerial career, but European football expert Andy Brassell has told talkSPORT his style of play is a total contract to what Burnley have been used to over the past decade under Dyche.
Brassell provided insight into Kompany's philosophy during his reign with the Belgian giants, and admitted that if the Clarets take a punt on the City legend, there will be huge stylistic changes on the way at Turf Moor.
"His philosophy couldn't be much further from Sean Dyche's," Brassell told Kick Off.
"They've been criticised sometimes, Anderlecht, for not getting the ball forward quickly enough. They love possession, so it feels like it would be a real 180 to the way they've [Burnley] done things over the last decade or so.
"He's playing with three at the back, he's playing with four at the back. He needs one player on the pitch, like a lot of coaches do, who's like his coach on the pitch - that player while he's been at Anderlecht has been Josh Cullen."
Burnley have been under the guidance of caretaker manger Mike Jackson since the sacking of Dyche in April.
Jackson led Burnley to 11 points from his eight games in charge but was unable to prevent the Clarets' relegation to the Championship on the final day of the season.
Despite Jackson's best efforts and his popularity at Turf Moor, Burnley look set to appoint an external candidate to boost their chances of an immediate Premier League return, and Brassell believes that Kompany has the right credentials for the job.
He said: "On one hand you think of the name and how impressive that is and you look at the job he done at Anderlecht and think, if they want to have a restart with a coach who's used to doing it under tough conditions, there's a lot of reasons to recommend Kompany.
"I don't think there's any doubt about that because he didn't really have any money to spend even though they brought in the thick end of €45million between them."
Whilst Kompany features high on Burnley's list of candidates, Brassell revealed that the 36-year-old has had a host of suitors across Europe but sees why he may eventually opt for a return to English football.
"What I find quite interesting, even though the jury's really still out on him as a coach - and it would be, he's still young - he's only been in the job for three years," he added.
"The other clubs that were interested as well as Burnley; we know he's got the family convection with Manchester with his wife being form there, his kids born there, all the rest of it, so it does seem to be a lifestyle thing.
"But Borussia Monchengladbach were interested, Wolfsburg were interested, so it's not as if he's not had options."