The 20-year-old has found himself out of contention this season, with Luke Shaw starting the season as first choice left-back and Alex Telles arriving from Porto during the transfer window.
Shaw is currently out injured and Telles made his Premier League debut for the Red Devils in the 1-0 win over West Brom at the weekend.
Despite making 17 Premier League appearances last season, Williams is yet to appear in the league this campaign, sitting on the bench twice without taking to the field.
The defender has started a couple of League Cup matches, but that is all he has managed so far this season, not appearing in the Champions League as yet either.
After being generally impressive last season, it is no surprise that there are clubs who want to offer him first team opportunities where United will not.
However, it is reported that ‘several Premier League clubs’ also want to take the 20-year-old on a short term deal.
Whether Ole Gunnar Solskjaer is keen to let his defender leave on loan is yet to be seen. Asked about Williams last week the Norwegian said: ‘I am starting to see the Brandon I saw last season, which I have to see more. If he keeps on doing what he did last season he’ll be fine.’
Williams recently explained to the official Manchester United website that he ended up as a defender after arriving at the club and realising he wasn’t as good as some of the leading lights up front, where he played at the time.
‘I was used to being in school and being the best player, but when I went there I wasn’t one of the best players really! I was down there in the bottom group,’ he said.
‘Mason’s always been there [as one of the best players]. James Garner he was up there as well. There are a few players who are not here as well now.
‘I was jealous at the time because they were skilful and everything. I think that’s why I went further back, because I was a striker but now I’m a defender.’