However, both players are still out with long-term injuries, with Diogo Dalot stepping in to cover for them so far this season.
Per GiveMeSport, United are assessing Fulham's Antonee Robinson, Milos Kerkez of Bournemouth, and Lille’s Bradley Locko as options.
United have made finding a left-back a priority mid-season, especially if Shaw or Malacia continue to struggle.
The club did bring in Noussair Mazraoui, but he is predominantly a right-back.