The Daily Mail reports that Rodgers is keen to bring in Moses on a season-long loan.
Moses has been told he can leave Chelsea on loan in order to get regular first-team football.
Chelsea are reportedly asking for a £2million loan fee for the 22-year-old winger.
Moses has yet to make an appearance for Chelsea following the return of Jose Mourinho as manager.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?