The 25-year-old was again a regular for the Reds during the 2019-20 campaign, making 42 appearances in all competitions, scoring six times and providing four assists in the process.
The Belgium international still has four years left to run on his contract at Anfield but could leave Jurgen Klopp's side this summer, having struggled for starts during the recent season.
According to The Sun, Villa, who managed to avoid relegation from the Premier League on the final day of the season, are interested in a summer move for the versatile attacker.
The report claims that Dean Smith is determined to improve his attacking options ahead of next season and will offer Origi regular football in the build-up to next summer's European Championships.
The Belgian has scored 34 times in 140 appearances for Liverpool in all competitions.