The 19 year-old put pen to paper on a five-year deal at the Old Trafford outfit last October and the club continue to regard the young Belgian international as an exciting prospect for the future.
However, Januzaj has made just four appearances for the Red Devils so far this season and United boss Louis van Gaal may look to send him out on loan so that he can enjoy regular first-team action.
Goodison Park is believed to be an attractive loan destination as it would allow Januzaj to team up with international teammates Kevin Mirallas and Romelu Lukaku.
Everton have endured a difficult first half of the season and Toffees boss Roberto Martinez may feel that signing Januzaj could inject some extra quality into his squad and kickstart their stuttering campaign.
European giants Inter Milan, Real Sociedad and PSG are also said to be interested in the player.
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