Off contract in June, the Netherlands defender remains locked in talks with the Reds about a new deal.
TMW says Gala are targeting Van Dijk - and not for a Bosman move in June.
Instead, the Turkish giants want to sign the veteran immediately and will seek to sign the defender in January.
Gala are determined to sign a big-name centre-half next month and also have PSG's Milan Skriniar under consideration.
