Talks between the club and the Belgian's representatives have been ongoing for months as City look to reward their leading star with a basic wage of £200,000 per week - before image rights and bonuses.
City are keen to get De Bruyne's future nailed down after seeing Liverpool lose Philippe Coutinho to Barcelona this week, but the City star remains relaxed about the prospect of re-committing himself to the club.
“We are still in negotiations," said the 26-year-old following City's win over Bristol City on Tuesday.
“I am waiting for an offer from the club but my agent has been on holiday for three weeks. There is nothing really new for the moment.”
De Bruyne's current contract runs to 2021 so there is no immediate rush but, when asked if he thought it would be completed soon, he said: “Probably. I'm not in a hurry. I still have three-and-a-half years on the contract.”
The new deal will double his £120,000-a-week wages, once bonuses and image rights are factored in, and when that was put to him, De Bruyne said: “Yes, OK! I cannot complain for the moment.
“Obviously we will see what happens. Negotiations are going good but they are going quietly. That is the way I think it should be.”