United intend to sign a new left-back over the summer and have drawn up a three-man shopping list ahead of the transfer window.
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Sky Sports says Brown and Newcastle United's Lewis Hall are both on United's radar.
In addition to Brown and Hall there is also Myles Lewis-Skelly after a frustrating season with Arsenal.
The 19-year-old hasn't found himself sidelined at Arsenal this season and been mentioned as a target for United by multiple English media sources.
It's understood United will seek at least four new signings this summer: two new midfielders, a left back and a left winger.