The Australian, who is coming towards the end of his contract, suffered the problem on Saturday during the Warriors' 18-14 win over Leeds Rhinos in Super League.
"He's torn his bicep," Wigan coach Shaun Wane is quoted as saying by Sky Sports News. "It's a two-to-three-month injury, though obviously we'll have a better idea down the track. It's a blow for Blake and for us, but we'll deal with it."
Wigan continue their Super League campaign on Thursday with a trip to Salford Red Devils.