Unbeaten Brook's third defence of his belt had been due to take place in Sheffield on Oct. 24.
"It's always a bitter blow when an injury causes a fight to be postponed, especially so close to the event," promoter Eddie Hearn said in a statement.
"Kell picked up a rib injury in sparring yesterday and spent most of the day at hospital yesterday. He was desperate to fight but it was simply impossible and we will now look to reschedule the bout for the end of the year."
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(Reporting by Martyn Herman; editing by Toby Davis)
