The Welsh international has suffered a 'Grade Two' tear which means he will be out for around two months.
The news is a disappointment to manager Stale Solbakken, as Edwards had become a key figure for him in recent weeks.
"It is disappointing that he picked up a bad injury," said boss Stale Solbakken.
"We don't have so many players with the experience that Dave has.
"In the last four or five games he has been up to a good standard in his performances."