The Portuguese coach impressed hugely with the Cottagers this past season, keeping them up in their first season back in the Premier League.
Fulham comfortably finished mid-table, despite being favorites to go down in pre-season.
Per The Telegraph, Silva is now being linked to the vacant head coaching job at Tottenham.
While he is happy at Fulham, Silva may feel Spurs can back him financially to help achieve his ambitions.
Silva had a largely unsuccessful spell at Everton from 2018 to 2019, but has since recovered his reputation.