Davinson Sanchez, Eric Dier and Toby Alderweireld all have uncertain futures, while Joe Rodon has yet to be given the opportunity to hold down a place following his move from Swansea City.
The club are said to be on good terms with Andersen’s entourage having previously held discussions in 2019.
And it is believed they are keen to win over Andersen’s reps before the transfer window opens and the start of the European Championships.
Along with Spurs, Manchester United have been linked with the defender, as well as Fulham’s desperation to retain his services in the second tier.
The Athletic claim that is now extremely unlikely however, despite his great relationship with Cottagers boss Parker.