The Netherlands international will be absent until March after picking up the injury on Saturday
Hamburg captain Rafael van der Vaart has been ruled out for up to three weeks with torn ankle ligaments.
The Netherlands international was taken off after 52 minutes in the 4-2 defeat to Eintracht Braunschweig on Saturday.
In a statement on their official website, Hamburg confirmed that the 31-year-old suffered "torn ligaments in his right ankle" during the fixture.
He will likely miss Bundesliga fixtures against Borussia Dortmund, Werder Bremen and Eintracht Frankfurt, with coach-less Hamburg currently second bottom of the Bundesliga.
The club dispensed of the services of Bert van Marwijk on Saturday after slumping to a seventh straight league defeat at the Eintracht-Stadion.
Former Schalke and Hannover coach Mirko Slomka has been touted as the man to replace Van Marwijk.