"Today's scan confirmed the injury in the left femoral biceps. He will be out for at least three weeks," a club statement read.
The news is a blow for PSG, whose failure to take three points against a side just one point off the drop zone cost them top spot after Lyon moved two points clear with a 2-1 win at Troyes.
Silva now faces a race against the clock to get fit for their UEFA Champions League last 16 first-leg against Valencia on February 11. French international Mamadou Sakho is set to deputise while Silva is out, partnering Brazilian Alex.
