The attacker is currently at Trabzonspor in Turkey, where he has been in impressive form all season.
Sorloth has 21 goals this term for Trabzonspor, as he has helped his side up the table in the Super Lig.
Aksam, via Sport Witness, claims Villa are willing to pay £15 million to Palace to land the attacker in the summer.
Any bid from Villa would be dependent on them staying in the Premier League.
They are currently battling to remain in the top flight after achieving promotion last season.