Liverpool have long been linked with the duo and have been favourites to sign the youngsters when their contracts expire next summer.
Spurs have already spent £52million on new players this summer, but are ready to further strengthen their squad.
The Mirror reports that Eriksen will cost Spurs around £8million, while Alderweireld will cost the club around £7million.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.