Ralf Rangnick is currently in charge of the Red Devils on an interim basis, but the German is expected to move into a consultancy position at Old Trafford next May.
However, according to The Mirror, Ten Hag has jumped the queue, with the 51-year-old impressing Old Trafford chiefs due to his work at Ajax.
The Dutchman guided his team into the last-16 stage of the Champions League with six victories in the group stage, while the Eredivisie champions are also top of their domestic table.
The report claims that Ten Hag 'ticks all the boxes' for Man United, and the former centre-back is ready to make the next step in his career at the end of the season.
Rangnick has won two and drawn one of his three games in charge of the Red Devils, including back-to-back 1-0 victories in the Premier League over Crystal Palace and Norwich City. body check tags ::