Sky Sports reports that Liverpool boss Brendan Rodgers is keen to bring in Sturridge as a replacement for Andy Carroll.
Carroll left Liverpool for West Ham on Thursday.
Sturridge is reportedly interested in a move to Liverpool in order to get regular first-team football.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.