Paul Lambert's side are in advanced discussions with the 22-year-old, who bagged 16 league goals last season, and hope to conclude a deal in the next 10 days
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Villa, who finished 15th in the Premier League last season and narrowly avoided relegation, hope to wrap up a deal for the towering centre-forward in the coming weeks.
"Aston Villa can confirm that the Club are in negotiations with Aalborg BK for the transfer of Danish forward Nicklas Helenius," read a statement on the club's official website.
"The club expects to conclude the deal, subject to a medical and personal terms, in the next 10 days."
Paul Lambert's side have already been active in the summer transfer window having completed the signing of Bulgarian winger Aleksandar Tonev and secured a new three-year deal for Andreas Weimann.