
The Premier League club have been tracking the England under 21 international throughout the close season and are reported to have paid a transfer fee that could rise to £30 million (US$36.44 million).
Tottenham have yet to comment on the deal which is expected to see 22-year-old midfielder Josh Onomah move the other way.
Sessegnon, who plays either left-back or further forward, became one of the hottest properties in English football when he helped Fulham gain promotion to the Premier League in 2018.
He was a regular for them last season as they were relegated back to the Championship.
Sessegnon fits the profile of player favoured by Tottenham manager Mauricio Pochettino; young, athletic and capable of playing in different positions.
He will create stiff competition for England international Danny Rose who looks set to stay at the club despite being linked with a move away.
Sessegnon is Tottenham’s second major signing of the transfer window after they paid around £63 million for powerful Lyon midfielder Tanguy