The Mirror reports that the former Spurs manager is keen to take the duo on loan for the rest of the season.
QPR has failed with an move to sign Tottenham striker Jermain Defoe as the striker is not keen on a move down to the Championship.
Redknapp knows that Spurs are prepared to let both Adebayor and Assou-Ekotto leave before the transfer window closes.
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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.