The Hungary international, who joined Dinamo from Anzhi Makhachkala in January 2012, has been linked with a move to Brendan Rodgers's side this window.
However, the 26-year-old's agent, Jozsef Vorosbaranyi, has labelled the rumours "false stories", insisting that he will be staying in Russia.
"We read this rumour and could not comprehend it," Vorosbaranyi told Nemzeti Sport.
"Balazs Dzsudzsak is a Dinamo player and we deny these rumours that he'd leave Moscow. These false stories can be harmful."
Dzsudzsak has earned 49 caps for Hungary since making his debut in 2007.