Old Trafford chiefs plan to up his £210,000-a-week terms to £300,000-a-week, putting him on par with Paul Pogba.
It would make them the joint highest-paid players at the club, and the most expensive in their history.
The 27-year-old is out of contract in the summer of 2019, but United have the option of extending by a further 12 months.
An Old Trafford source said: “The club are finally going to kick-start contract talks with David very soon.
“There were hints of talks in the summer but formal discussions had not yet started, it was just a matter of time.
“There is no problem and the money men are committed to tying him down for the long-term."