The Mirror reports that a move to the Hammers for Downing could be sorted in the next few days.
The 29-year-old turned down a move to the Hammers earlier this summer, but the London side have come back in and the winger is now ready to leave Anfield.
Downing has failed to make the expected impact at Anfield since joining Liverpool from Aston Villa in a £20million deal just two years ago.
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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.