According to Marca's Jose Felix Diaz, their desire to have the deal completed as soon as possible is mutual with De Gea, and the major remaining obstacle is the transfer fee.
While current Real No. 1 Keylor Navas is backed by his team-mates, the powers that be at boardroom level at the Santiago Bernabeu are in "no doubt" about wanting the United stopper.
Sports writer Adam Joseph believes the Red Devils would be best served by keeping the Spaniard at the club:
Indeed, United and the vast majority of their supporters likely agree, with De Gea's performances over the last several years establishing him among the top goalkeepers on the planet.
However, should the stopper want to leave and Real be willing to pay big money for his services, it may be out of their hands to an extent.
On the back of two major trophies and with UEFA Champions League football secured, not to mention De Gea having two years remaining on his current deal, football writer Liam Canning believes United can demand far more than €75 million:
Football writer Dale O'Donnell believes he would warrant an even higher bid or a player in exchange:
A part-exchange would arguably be the better choice given United already have plenty of wealth at their disposal, but they clearly need more talent in their squad having finished sixth in the Premier League last year.
Either way, it seems unlikely Real will be able to get this wrapped up quickly given De Gea is arguably United's most valuable player and they'll want the best deal possible for him.