It emerged in June that PSG were the frontrunners for the Argentina international and the Ligue 1 side will reportedly offer the forward a five-year contract.
And the player's agent remained hopeful that a deal would be concluded by the beginning of the week.
“We're still finalising some details between the two clubs. Everything should be ready by Monday or Tuesday," Alejandro Mazzoni told Sky Italia.
“It's difficult for Lavezzi to say goodbye to Napoli, he said that he wants to explain himself to all Neopolitans when his move is definite. At the right moment."
Lavezzi has played a key role in establishing Napoli as a major force in Serie A again having joined the club back in 2007 from San Lorenzo.