The left winger – who is out of contract at the end of next season – doesn’t want to leave London.
And that is a mega blow to suitors Manchester United.
United have been preparing a staggering £50million bid for Sessegnon, 18, who is rated as one of the brightest young talents in the country.
Fulham have been trying to tie him down to a new long-term contract for months.
But the Cottagers have been unable to reach an agreement.
Sessegnon’s decision to stay in London is also bad news for French giants Paris Saint-Germain, who have been chasing him for the last year.
Tottenham – who haven’t signed a player in the last two transfer windows – could buy Sessegnon this summer and then loan him back to Fulham for next season.
Chairman Daniel Levy is balancing a tight playing budget with the financing of Spurs’ new stadium.
The club hope to move into their new White Hart Lane ground before the end of this campaign.
Set-backs have seen the development of the new ground delayed in recent months, while the cost of the stadium has spiralled.
Spurs manager Mauricio Pochettino has hinted at his frustration over the lack of funds for his squad.
The club was criticised by many punters and pundits after failing to sign anyone during the summer transfer window.
Pochettino’s Spurs are still just about in the Premier League title race, while they face a Champions League quarter-final clash with Manchester City this spring.
As for United, they are gearing up for a big summer of spending with Ole Gunnar Solskjaer likely to be in charge.
Ironically, Pochettino was the odds-on favourite to land the United job full-time after Jose Mourinho was sacked.
But interim boss Solskjaer has proved so effective in the United dressing room that the Norwegian is expected to stay on past the summer.