The Spaniard has firmly established himself as one of the top goalkeepers in the world and is a key player for Jose Mourinho's team.
However, according to Yahoo Sport, the 27-year-old and his agent Jorge Mendes have yet to receive an upgrade on his current deal at Old Trafford.
De Gea and his representatives are currently looking for the club to offer an improved deal due to his fine form for the club this season.
The Spanish national team first-choice keeper signed a new deal with the Red Devils under Louis Van Gaal.
He has 16-months remaining on his current deal though United have an option to extend it by a further year till the summer of 2020.
He nearly moved to Real Madrid in 2015, however the deal was called off at the last minute due to a faulty fax machine.