The 26-year-old has a contract until 2015 with the russian team Dynamo Moscow where he seems to be happy.
The Hungarian International is thought to be valued at around 12 million euros and is the latest player to be linked with the Reds as Brendan Rodgers looks to re-shape the team as the departure of Luiz Suarez edges closer
Dzsudzsak appears to be happy at the club as he didnt ask to leave the club where he has a good partnership with his coach Dan Petrescu.
Dzsudzsak scored 5 goals and provided 10 assists in 27 league appearances and previously had a 4-year spell in PSV Eindhoven where he was rated as one of the best wingers in Eredivisie.