And Marco Silva and Thomas Frank are ‘in the running’ too, having worked wonders during their respective spells at Fulham and Brentford.
Kompany is hoping to guide Burnley back into the Premier League, with the Clarets currently 16 points clear of third spot.
Yet a departure may appeal because the City icon knows he’ll be financially restricted when it comes to keeping his side in the top flight.
Speaking recently, former Chelsea star Tony Cascarino suggested Kompany would be the best fit for Tottenham.
“In the past Tottenham have just made an obvious choice, picking managers with the best CVs, but it’s time for them to be brave, especially as Harry Kane may well depart, which would create a completely new dynamic at the club,” he said.