The France international – who travelled to the World Cup with Les Bleus this summer – was on the verge of joining Liverpool a matter of weeks ago in an £8.5m deal, but the switch collapsed after he failed a medical with the Merseysiders.
He has since returned to QPR – the 27-year-old was on loan at Newcastle last term – but despite claims from Harry Redknapp that he could stay for the season, speculation suggests that the forward will be on the move.
Spurs are understood to be the most likely suitors, with Mauricio Pochettino’s men ready to pay £10m for him.
The Lilywhites will have to bid higher than Liverpool did to activate a release clause in his contract, with Europa League not Champions League football present at White Hart Lane.
A deal could be done in time for Remy to face QPR this weekend.