The Italy international remains in contact with his former Napoli boss, who has turned down a move to the Premier League
Lorenzo Insigne, who played under Gennaro Gattuso at Napoli, says "a bit of mess" at Tottenham was responsible for his former boss snubbing a move to England.
Spurs remain in the market for a long-term successor to Jose Mourinho, who they sacked in April, and had been hoping to appoint the fiery Italian tactician.
However, Gattuso is among those to have walked away from talks with the Premier League outfit, who are also having to contend with exit speculation this summer surrounding Harry Kane.