De Bruyne caught the eye of a number of Europe's top clubs last year by putting in a series of fantastic performances to help Genk lift the Belgian title.
The 20-year-old is looking for a move from his homeland and would be happy to move to Chelsea although he does confess he would also be open to the idea of returning to Genk on loan for a season as part of the deal.
"My manager went to Chelsea on Wednesday and discussions have been good," said De Bruyne
"Maybe by the end of the month a deal can be sorted out, because that would be a good thing for all three parties - and if there is an agreement with Chelsea, I would certainly spend another year at Genk."
De Bruyne's Belgium team-mate Romelu Lukaku is expected to put the finishing touches to his move to the London club this week.
The teen-age striker has already undergone a medical at Chelsea's training ground and the two clubs have agreed a fee, thought to be in the region of £18million.
Chelsea have already signed goalkeeper Thibaut Courtois from Genk player this summer - but he was immediately loaned out to Spanish side Atletico Madrid.