New Fulham boss Rene Meulensteen is keen to strengthen his squad in the January window as he looks to stave off relegation, and he's identified Dzsudzsak - the most expensive player in Hungary's history - as one of his top targets.
The Hungary international was linked with Liverpool over the summer, as his agent claimed the Anfield club and Inter Milan had asked about his availability.
He broke the Hungarian transfer record when he made his £15m switch from Anzhi to Dinamo Moscow in 2012, but reports in Russia claim he's open to another move - with the Premier League in play.
Fulham owner Shahid Khan is ready to hand Meulensteen a bumper transfer budget in the January window to help secure the Cottagers' survival.
Liverpool could look to revive their interest in Dzsudzsak if it becomes apparent he's available next month.
Along with Inter, Brendan Rodgers was thought to have asked Dinamo Moscow about their willingness to sell last summer.
At that time, the Liverpool boss was looking to add another attacking midfielder to his squad - he was also linked with Henrikh Mkhitaryan and Willian before both moved elsewhere over the summer.