The Chelsea forward is out of favour at Stamford Bridge, and Brendan Rodgers is keen to bolster his forward line at Anfield.
The player could cost Liverpool £12 million as they look to give Luis Suarez support up front.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.