Carrick's predecessor, Ruben Amorim, was sacked in early January, resulting in a subdued winter transfer window.
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Defensively, Harry Maguire's contract expires in the summer, but speculation regarding a fresh deal - on revised terms - has surfaced.
5 View 5 Images Two United fan favourites could leave this summer (Image: Ash Donelon, Manchester United via Getty Images) 5 View 5 Images Cunha has excelled as a No.
Manchester United potential starting XI under Michael Carrick next season: Lammens; Dorgu, Maguire, Martinez, Ryerson; Anderson, Mainoo, Cunha; Rashford, Sesko, Mbeumo.