Both players broke down during the draw at Athletic Bilbao on Sunday.
Dutchman De Jong has suffered a sprain of the external lateral ligament of his right ankle, while Canary Islander Pedri damaged the rectus femoris of his right thigh.
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Pedri's injury is his third suffered this season.
Inside Barca, there's now fears neither player will be fit for the second-leg of their Champions League round 16 tie with Napoli.