De Gea is out of contract next summer after United kicked off a 12-month extension to its deal.
The club is anxious to tie it to a longer agreement, although following many speculations it would be willing to leave Old Trafford.
De Gea is currently believed to earn £ 210,000 a week at Manchester United, even if it wants more.
The shot told the leaders of United that he is ready to commit his future in the club, but only if the price is right.
Express Sport understands that it is £ 350,000 a week to make David de Gea the highest paid goalkeeper in the football world.
British executive vice president Ed Woodward has seen a number of players signing new deals in recent weeks under Ole Gunnar Solskjaer.
Phil Jones was the last to put his head on paper when he extended his UK deal on Friday.
Anthony Martial, Luke Shaw and Chris Smalling have recently signed new contracts.
Solskjaer brought United to ten wins out of 11 in all competitions, with the last 3-0 victory at Fulham.
De Gea has just been tested at Craven Cottage, but has impressed in recent weeks.
He is one of the best goalkeepers of world football at the moment and is gaining the praise of some United fans, who call him the best club he has ever seen.
Danish star Peter Schmeichel and former Fulham hero Edwin van der Sar both shone during their time at Old Trafford.
And Solskjaer believes that De Gea is competing with that pair for United's best goalkeeper ever.
"We've had some great goalkeepers in this club and I think he's challenging both Edwin and Peter for the top spot historically," Solskjaer said recently.
De Gea has won the United States Player Award in four of the last five seasons.
He is ready to return to the field as the Manchester United PSG in the first leg of the Champions League first knockout rounds on Tuesday (8pm).