He has scored eight goals in 15 games in all competitions this season but the games he is set to miss include those against Chelsea on 29 November and Liverpool on 13 December.
Van Persie's career in north London has been interrupted by a succession of injuries - he broke a toe in January 2006, fractured a metatarsal in January 2007 and damaged a knee on international duty in October 2007.
After enjoying a relatively injury-free 2008-09 season, he has started all of Arsenal's Premier League games this season, and, along with his eight goals, has eight assists.
All of Van Persie's goals have come in the last 11 games and the former Feyenoord forward has helped propel Arsenal to within five points of Premier League leaders Chelsea with a game in hand.
His absence leaves the Gunners short in attack, with Nicklas Bendtner sidelined until mid-December following minor groin surgery and Theo Walcott nursing a knee ligament problem.
Arsenal are also currently without the injured Gael Clichy and Denilson.
Any lengthy absence for Van Persie will also be felt by the Dutch as they prepare for the 2010 World Cup.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.