The youngster had been linked with a move on loan this January but Louis van Gaal looks keen to include him in his future plans.
Speaking on his new deal that runs until at least June 2019, Wilson said: “I have been at United since I was seven years old and have thoroughly enjoyed my time here so far.
GETTY
Chelsea have contaced Georgia goalkeeper Giorgi Loria
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"Growing up at the club has been an incredible experience and I feel it stands me in good stead for continuing my development as a Manchester United player.
"I am delighted to have signed a new contract and look forward to playing a part in the team for many years to come.”
The 29-year-old is currently under contract at FC Krylia Sovetov Samara in Russia but his national team boss Kaja Tsjadadze has revealed the Blues have been in contact.
"There were two days where Chelsea would not stop calling," Marca report Tsjadadze telling Georgian media.
Jose Mourinho is still without first choice Thibaut Courtois - who isn't expected to return until after Christmas - and has been left with just Asmir Begovic and Jamal Blackman available.