The Italy international is thought to be top of the Citizens' transfer list this summer, as manager Pep Guardiola attempts to bolster his options in the middle of the park.
Agent Joao Santos has now claimed that the transfer is still well on course to completion despite no documents having been signed by either party.
"Jorginho is now in Fortaleza with his family on vacation," Santos is quoted by the Manchester Evening News as saying. "In football you need signed documents, without this you can do little.
"We have a verbal agreement with City, now we are waiting for Napoli to find the agreement and Manchester [City] to define the deal. Everything depends on this aspect, next week could be the one."
Jorginho has represented Napoli more than 130 times since joining from Italian rivals Hellas Verona in 2014.