Other names linked include Steven Gerrard and Frank Lampard, with more high-profile coaches such as Antonio Conte and Zinedine Zidane reportedly snubbing the chance to take the job.
Ten Hag led Ajax to the Champions League semi-finals in 2019 and the Dutch club have benefited from some shrewd transfer moves and an impressive youth policy in that time.
Overmars has been in the role since 2012 but may welcome the chance to take part in a new project, having seen the likes of Donny van de Beek, Frankie de Jong and Matthis de Ligt all sold over the past two years.
But Ten Hag has poured cold water on any chance of himself and Overmars leaving the club, insisting he has had no contact with the 51-year-old about the job.
