The Brazil-born Italy international is reported to be registering on the radar of several Premier League sides ahead of the summer transfer window.
United are among those said to be considering an approach, with Jose Mourinho seeking further reinforcement in the middle of the park.
They are, however, yet to formalise any interest, with no official approach made to Napoli or the 26-year-old’s representatives.
Joao Santos told Radio Crc: “As a player for one of the most important national teams, and a club fighting for the Scudetto, it’s clear he’ll be looked at by these clubs.
“I’ve spoken with [Napoli sporting director Cristiano] Giuntoli three times in recent months, he hasn’t told me anything, but I haven’t had any contact with United.
“He [Jorginho] has two years on his contract and negotiations [for a renewal] will begin for that reason, because it becomes dangerous and then expires.
“We’re not thinking about it right now, but we will do later.”
Jorginho has been with Napoli since January 2014 and made over 150 appearances for the club.
He has proved himself on a Serie A stage, with his exploits having earned him senior international recognition and three caps for Italy.
His current contract is due to run until 2020, but Santos has previously suggested that a move could be made if reinforcements are acquired by Napoli.
He said in February: “If a player like [Lucas] Torreira arrives from Sampdoria, then that will require an important investment and Jorginho could be sacrificed to make way.”