The midfielder is out of contract this summer and is said to be 'concerned' by reports that the Red Devils have tried to line up a £30 million deal for Birmingham City's 16-year-old prospect Jude Bellingham.
But the Manchester giants have in recent days shown how much they still want to retain Gomes, who arrived at the club when he was just six years old.
The 19-year-old rejected a deal worth £20 000-per-week plus bonuses last year - with his camp believing their client could get better terms elsewhere.
Chelsea have been in contact but United are confident progress has been made in recent days after increasing their financial package by nearly £600 000-per-year.