The 19 year-old has signed a pre-contract with Villa and will spend the coming season in Austria with LASK.
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Cissé made his senior debut last term, going on to make 10 appearances in the Bundesliga, scoring once.
He will spend the next 12 months with LASK before joining Villa formally next summer.
Cisse, who was born in Senegal, came through the youth ranks at Real Ávila in Spain before signing for LASK in July of last year.
Villa are understood have spent £4m to have landed the prospect.