The former Southampton boss also has injury to centre-back duo Steven Taylor and Fabricio Coloccini to contend with, whilst Cheick Tiote remains unavailable for Norwich clash
The 24-year-old picked up a groin injury against Chelsea in last weekend's 3-0 defeat, with defensive duo Steven Taylor and Fabricio Coloccini also picking up injuries in the clash.
"Danny Guthrie could be a four-to-six-week job," Pardew said. "And there's no Cheick [Tiote] this weekend so we really are up against it squad wise and it's important now that everybody plays their part."
The former Charlton boss is unsure whether Argentine centre-back Coloccini will be fit enough in time for Saturday's away trip to Norwich City, and is keen not to risk his club captain.
"I think there's an outside chance he could play, but we won't play him and put him at risk," said Pardew. "His injury looks a lot better than we thought so that is the positive news that we got coming out of the treatment room this week."
Former England under-21 defender Taylor, now ruled out for the season with an Achilles injury, recently underwent surgery on the troubled ankle.
"The operation went very well," Pardew said.
"It's been repaired and we think he'll make a full recovery. Usually with that type of injury your Achilles comes back stronger so I don't envisage that problem coming back once he returns."