The 17-year-old is understood to be stalling over signing a first professional deal at Old Trafford. According to the Sun, that has led to the 20-time champions of England fearing the London-born midfielder could be lured away from the North West, with Dortmund touted to be the front-runners for Gomes' signature.
While the Bundesliga outfit cannot compete financially with the likes of Bayern Munich and Europe's elite clubs, they have snapped up some of the best youngsters from around the continent. Former Manchester City starlet Jadon Sancho, who alongside Gomes won the Under-17 World Cup with England earlier this year, left the Etihad for the Signal Iduna Park in a £10m move last summer.
"There is chatter around the club that Dortmund are the latest side in for Gomes," a source reportedly close to United was quoted as saying by the Sun.
"He is pals with Jadon Sancho and that could be something that tips the scales on whether he stays or goes."
Gomes, who became the youngest player to play for United's first team since Duncan Edwards when he made his senior debut in the final game of last season, could also be tempted by Barcelona, who have long being mentioned among the youngster's growing list of admirers.
The midfielder has been at United since the age of six and has graduated through the club's famed academy, before signing for the club in May 2014.
The 17-year-old, who scored the fourth goal in England's 4-0 win over Chile in their first game of the Under-17 World Cup, scored 12 goals in 19 starts for United's under-18s last season and was the youngest-ever recipient of the club's Young Player of the Year award.