Leipzig captain Orban picked up the injury in their 1-1 friendly draw against Czech Republic on Sunday and was forced off the pitch 60 minutes into the game.
"More detailed examinations on Monday in Leipzig revealed that our captain sustained an injury to his right knee and will therefore be out of action for our team for around ten weeks," Leipzig said in a statement.
Orban has represented Hungary on 41 occasions since making his international debut in a 1-0 Nations League loss to Greece in October 2018.