Reports in Germany linked the Reds with a move for the 20-year-old this summer but Liverpool opted against making a marquee signing.
Jurgen Klopp, who splashed some serious cash in the summer of 2018, instead signed two youth prospects in Sepp van den Berg and Harvey Elliott.
The January transfer window is a few months off and Liverpool have started this season very much on the front foot, suggesting the Reds will have a quiet winter too.
But should Klopp decide he needs to strengthen his midfield next summer then it appears compatriot Havertz would be up for the switch.