The 25-year-old was forced out of the 1-1 Europa League draw against Maritimo on Thursday at half-time with a hamstring problem.
Ben Arfa will miss the Premier League clash with Southampton at St Mary's Stadium on Sunday, but is expected to make a swift return, while injury doubts Papiss Cisse and James Perch are likely to be passed fit.
|11/4||Newcastle are 11/4 with Bet365 to finish top of Europa League Group D
"It's not as bad as we feared, so I think a couple of weeks, but no more than that, hopefully," Pardew said at a press conference.
Pardew also suggested young striker Nile Ranger could be involved after an improvement in his attitude following a string of late appearances for training and disciplinary issues.
"Let's just say he's knuckled down," Pardew added. "I still think he owes us and I said that to him this morning, so I'm not saying anything that I haven't said to him personally.
"I think he owes us and now is the time to be humble, come in and play football and concentrate on football."