The France international – who is currently away with Les Bleus at the World Cup – is expected to leave QPR in the coming weeks after enjoying a successful loan spell at Newcastle last season.
Spurs have been in talks with the 27-year-old for some time and are understood to have agreed a deal in principle with the forward ahead of a release clause-triggering £9m offer.
But Remy will not commit to the move until later this summer in the hope that north London rivals Arsenal will wade in.
The Gunners have also been linked with Remy over the course of the past few months, with speculation suggesting that talks between the parties have taken place.
Although the hit-man has been swayed by Tottenham’s ambitious plans, it is thought that he would prefer the guarantees of Champions League football and challenging for silverware on offer at the Emirates Stadium.
Remy signed for QPR from Marseille in a shock move during January 2013, but left six months later to join Newcastle on loan after he was unable to keep the London club clear of relegation.