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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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.