The Mirror says Swiss defender Senderos, 25, is expected to be a key player for his country in South Africa.
But he is surplus to requirements at Arsenal after failing to convince Emirates boss Arsene Wenger.
Senderos was even loaned to Premier League rivals Everton in January for whom he made just three appearances.
But Fulham need another centre-back this summer as Chris Smalling is going to Manchester United.
And the Craven Cottage club now hope to tie up a permanent transfer for Senderos after the World Cup.