He has torn cartilage and his operation is scheduled for Tuesday at Baptist Hospital in Nashville, Tenn.
This is the second big injury of the season for the Flyers -- right wing Sami Kapanen is recovering from shoulder surgery last month.
The 33-year-old Stevenson signed as a free agent with the Flyers in July 2004. He played on New Jersey's 2003 Stanley Cup championship team.
Flyers coach Ken Hitchcock said Stevenson originally injured the hip while with the Devils. He took a cortisone injection last week and felt good enough to play against Pittsburgh, but took a hard hit in that game.
This is the second major injury of Stevenson's 11-year career. He missed most of the 2001-02 season after knee surgery.
"His leadership, it's amazing how quickly he acclimated here,"
captain Keith Primeau said. "That's just a guy who's been around
for a long time. He's had success, he's a winner, so he brings
those experiences with him."
General manager Bob Clarke said he has no of trading to acquire a veteran and will not call up a replacement from the AHL because of salary cap considerations. The Flyers will carry only 12 forwards into Saturday's game at Toronto.
Stevenson has 75 goals in 616 NHL career games.