Maguire has endured a frustrating campaign at Old Trafford, making just 16 starts in all competitions and only eight in the Premier League.
Sources have told ESPN that United are willing to listen to offers for the 30-year-old and anticipate interest from West Ham United, who made an enquiry about his availability during the January transfer window.
Ten Hag, according to sources, is open to keeping Maguire as part of his squad but understands the England defender might seek a move away to find more regular games.
Maguire has been named in the England squad for fixtures against Malta and North Macedonia in June, but when asked about his lack of game time at United, manager Gareth Southgate said pointedly that "it's not a situation that can continue forever."
Maguire has a contract at Old Trafford until 2025 plus the option of another year, and United will be looking for a sizable fee for a player signed for £80 million from Leicester City in 2019.
Sources have told ESPN that even if Maguire departs, signing another defender this summer is not high on United's list of priorities.