"No way, there's no way,'' coach Jim Boeheim told ESPN.com.
Onuaku has not practiced since injuring his right leg during a Big East Tournament quarterfinal game against Georgetown on March 11.
The Orange was scheduled to practice after their interview session in Buffalo on Saturday, but Boeheim said that Onuaku would not participate.
"I never play somebody that has not practiced,'' Boeheim said during a press conference.
At least the coach was in a good mood despite his depleted lineup.
"Now I said I have never played someone who hasn't practiced; I didn't say I would never,'' he said to ESPN.com later. "No, no. I'm kidding. There's no way.''
Don't expect the Orange to go much deeper than six players, with guard Scoop Jardine being the lone option off the bench. Freshman DaShonte Riley, the expected fill-in for Onuaku, played just 12 minutes in the first-round rout and most of those minutes came in mop-up time.
Riley has played 137 minutes this entire season.
Dana O'Neil covers college basketball for ESPN.com and can be reached at firstname.lastname@example.org.