Maguire, 32, has had limited minutes for Man United so far this season due to injury, starting just four of his eight Premier League games.
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The England international looks set to leave the club once his contract expires at the end of the season, with a new deal unlikely.
According to a report from the Daily Mail, United are interested in signing Nottingham Forest’s Murillo as a replacement.
The 23-year-old is highly regarded in the Premier League and has also been linked with moves to Liverpool, Man City, and Chelsea.