The 20-time English champions are still said to be battling to sign Sancho from Borussia Dortmund, but it remains to be seen whether they can agree a fee for the England international before the October deadline.
According to the Manchester Evening News, United are weighing up alternatives for the former Manchester City youngster and have identified Hudson-Odoi as a potential addition.
The 19-year-old only signed a new long-term contract with the Blues last summer but could find regular minutes hard to secure this season due to Chelsea's transfer business.
The attacker has only played 10 minutes of Premier League football this term and was an unused substitute during his side's 2-0 defeat by Liverpool last weekend.
Hudson-Odoi has scored eight times and registered 11 assists in 63 appearances for Chelsea. body check tags ::