The 24-year-old centre-back is surplus to requirements at the club.
Rodon is not in the plans of manager Antonio Conte, who wants to add one more centre-half to his squad after securing Clement Lenglet.
Football Insider reports that Fulham may be ready to offer Rodon a way out of the Tottenham Hotspur Stadium club.
The newly promoted side can offer him regular first team football.
Spurs signed Rodon from Swansea for around £15 million and will be hoping to make a modest profit on him.
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