The loan deal for the 24-year-old does not include an obligation for a permanent move, sources have told ESPN.
The 24-year-old defender made 11 appearances for Villa in all competitions this season, although he has not started since November.
Tuanzebe has made 37 appearances for United since making his senior debut in the FA Cup in 2017. He has also enjoyed three separate loan spells to Villa since 2018, making 46 appearances.
He also played an important role in the Villa side that gained promotion to the Premier League in 2019.
Information from ESPN's Rob Dawson contributed to this report.