While the Premier League giants are currently well stocked for options between the sticks, Dean Henderson is expected to depart Old Trafford during the summer window.
That would leave a vacancy open for the number-two spot, and Newcastle United's Karl Darlow is said to be one goalkeeper who is under consideration.
According to Manchester Evening News, newly-appointed head coach Erik ten Hag is also open to signing Austria international Bachmann.
The 27-year-old made 12 starts in the Premier League this season, the last of which came on the final day as the Hornets lost 2-1 at Chelsea.
As it stands, Bachmann is in line to replace Ben Foster as Watford's number one in the Championship, but it appears that the former Stoke City youngster could get an opportunity to make the switch to the Theatre Of Dreams.