Joseph crashed hard to the floor on a drive and the back of his head slammed the hardwood with just over six minutes left in the first half Saturday against Cincinnati.
He went to the locker room to be evaluated after scoring just two points, did not return, and won't make the trip to Pittsburgh because of recurring headaches, according to Pete Moore, director of athletic communications.
"[Joseph] is a big part of us," said Syracuse forward Rick Jackson, who has 11 double-doubles on the season. "Our young guys are just going to have to step it up."
Joseph did not participate in practice Sunday, and he will continue to be evaluated on a daily basis.
Syracuse (18-0, 5-0 Big East), one of four unbeatens remaining in Division I, and the Panthers (17-1, 5-0) both could move up at least one slot Monday in the Top 25 in the wake of top-ranked Duke's loss at Florida State on Thursday night.
Information from The Associated Press was used in this report.