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Mayweather, not yet two months removed from his victory over Manny Pacquiao, said as much in a video clip that surfaced on Instagram on Wednesday.
Chatting with a group, Mayweather mused at a possible comeback by De La Hoya, who has been retired since 2009.
"Oscar... he's coming back," Mayweather said.
"I mean if he wants to, we can rock 'n' roll in the same gym... He said he wanted a rematch, so if Oscar wants it, he can get it."
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The two fought in May 2007, a split-decision victory by Mayweather.
Hyped as "the fight that would save boxing" - the bout generated what were records for live gate revenue ($19million) and pay-per-view purchases ($2.48m) at the time.
Mayweather shattered those records during his bout with Pacquiao last month, which easily became the richest fight in boxing history.
The 38-year-old defeated Pacquiao by unanimous decision to remain undefeated (47-0) in his career.
De La Hoya, 42, also fought Pacquiao in 2008, and announced his retirement from boxing a year later with a 39-6 win-loss record and 30 knockouts.
But the American left the door open for a comeback recently.
"If I ever come back - and I think about it every day - I'll fight Triple G," De La Hoya told TMZ.