The Seattle Sounders star is believed to be on the verge of making a loan return to England, with the MLS season finished for the winter.
His current club are thought to be willing to let the American international make a temporary move in order to boost his fitness ahead of the 2014 World Cup, which has alerted a number of sides from the country in which he used to ply his trade.
West Ham were believed to be one club with a particularly firm interest, but Dempsey is ready to reject the Hammers in favour of a second spell at Fulham.
The Texas-born attacker made his name in Europe with the Cottagers, and was a fans’ favourite prior to his £6m switch to Tottenham last year.
His spell with Spurs was a short one, with a move to his homeland sealed after less than 12 months in North London.
New Craven Cottage chief Rene Meulensteen is desperate to add proven quality to his side in a bid to avoid relegation, and sees Dempsey as an excellent short-term solution.