The Italian forward has scored one goal in seven league appearances for Juve this season and has been strongly linked with a move to Lazio in January.
"I don't believe there have been any contacts between Lazio and Fabio," Quagliarella's agent Giuseppe Bozzo said to Corriere dello Sport. "Fabio has no intention to leave Juve in January.
"(Juve coach Antonio) Conte wants him to stay.
"The fact that he is playing for a club that is fighting for the scudetto is a big motivation for Fabio."
Quagliarella, 30, joined the Turin giants from Napoli in 2010 but is Conte's fourth choice striker behind Carlos Tevez, Mirko Vucinic and Fernando Llorente.