Alexander-Arnold's current contract is set to expire at the end of the season, sparking interest from Real Madrid.
According to Marca, Arne Slot's side feel the lure of Real may be too great for Alexander-Arnold.
The right-back has admitted in the past that he is extremely ambitious and that he wants to keep winning the biggest trophies.
While this report may be reliable from a Real perspective, there has not been any indication of Alexander-Arnold wanting to leave in the English press.