Slimani is currently contracted to Leicester City, but he is on loan at Monaco.
That could have presented a challenge to Villa, who are keen to land the striker.
But Leicester boss Rodgers is believed to be willing to relocate Slimani at Villa.
If Villa were to bring in Slimani he could have an immediate route into Dean Smith’s side’s first-team, as they are short of numbers up-front.
Slimani would offer Villa a presence in forward areas, following an injury to Wesley.
Slimani’s time at Leicester wasn’t particularly productive, but the Algerian would be looking to prove that he has what it takes to make an impact in the Premier League, if he was to move to the claret and blues.
The 31-year-old could be in competition with Ally Samatta if he was to move to Villa Park, as the Genk forward is expected to join Smith’s side in the coming days, according to the Birmingham Mail.
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