Earlier, Rodgers said that despite the departure of England forward Sterling, 20, Liverpool could still attract top players.
"Players are always going to want to come to Liverpool, it's such an iconic club, it's a great club," he said.
"The challenge for us is to get back in amongst the top teams, hopefully that continues to attract players."
Benteke joined Aston Villa from Genk in August 2012 for £7m and has scored 49 goals in 101 appearances.
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