The Wolfsburg playmaker is reportedly close to making a club record move to the Barclays Premier League leaders.
The 24-year-old, a Belgium international team-mate of Kompany, has been photographed near Manchester after apparently travelling to the city for a medical.
There has been no comment from the club and manager Manuel Pellegrini has consistently refused to answer questions about the club's apparent summer-long pursuit of the former Chelsea player.
But Kompany has spoken of his admiration for De Bruyne and would welcome his addition.
Speaking after his side's 2-0 win over Watford at the Etihad Stadium on Saturday, Kompany told Sky Sports: "We'll see once everything's been confirmed.
"We'll have another player who's dangerous, who can score goals and who is really efficient.
"It's going to be a long season with a lot of competitions and the squad can't be big enough."
Some reports have suggested the fee for De Bruyne could be as high as £58million, eclipsing the £49m City paid for Raheem Sterling earlier in the summer.
Pellegrini was also asked about De Bruyne in his post-match press conference but gave little away.
He said: "I will answer the same way I answer all the questions that you or the other journalists ask me about rumours
I can't talk about rumours."
It was then suggested by a journalist that the reports could no longer be considered rumours because of the photographs but to little avail.
The Chilean said: "I was involved in the game and not thinking about what was happening in Manchester
I was thinking about what happened in 90 minutes against Watford."
Source : PA
Source: PA