Leipzig opened the scoring through Xavi Simons 15 minutes in but Sargis Adamyan equalised almost immediately and the scores were level at the break.
But Openda then struck in the 63rd and 67th minutes before Amadou Haidara and Yussuf Poulsen padded the score for the visitors.
Leipzig move two points above Borussia Dortmund, who take on Eintracht Frankfurt on Sunday.
Juventus could turn to Lois Openda as they prepare for Saturday's Derby d'Italia against Inter, with Francisco Conceicao a major doubt after picking up a muscle problem on international duty.
Harry Kane has responded firmly to Michael Owen’s criticism of his decision to join Bayern Munich, insisting he is thriving in Germany both on and off the pitch.
Bayer Leverkusen have appointed Kasper Hjulmand as their new head coach on a contract running until 2027, following the dismissal of Erik ten Hag.
Thomas Tuchel has expressed full confidence in Harry Kane as England prepare for a key 2026 World Cup qualifier against Serbia in Belgrade on Tuesday.
