The Leeds United midfielder and USMNT skipper was impressive at the World Cup with the Americans.
Despite the US crashing out in the round of 16 to the Netherlands, Adams earned rave reviews for his leadership and performances.
Per Firenzeviola.it, Burdisso has been taking unscheduled trips to Qatar to watch Adams in action.
The 23-year-old has featured in 13 of Leeds' 14 Premier League outings this term.
Manager Jesse Marsch would loathe to lose such an important player, especially in the winter market.