Ashley Young was forced to play out of position last season, and Mourinho holds Luke Shaw in open contempt.
Rose was touted as a prime target with the Telegraph claiming that United have been eyeing a swoop for the £55m-rated England worldwide - who's expected to leave White Hart Lane after falling out of favour under Mauricio Pochettino last season with Ben Davies Tottenham's first choice left-back.
He'll need to look elsewhere if he's still determined to move up north, though his options may be limited with United off the table given the strength of Andy Robertson's debut season at Liverpool and Manchester City have Benjamin Mendy.
Jose Mourinho has already brought 19-year-old right back Diogo Dalot in from Porto for £17.4m and it was expected that he would add another full back soon, with Juventus' Alex Sandro and Monaco defender Djibril Sidibe also linked.
According to the same story, Manchester United will lead the interest in the 29-year-old centre-half ahead of the new Premier League campaign.
As such, the Red Devils won't be pursuing the Spurs star in a £50 million move.