The prison population is rising by more than 100 people a day as courts deal with cases of rioting and looting, Ministry of Justice figures show.
Jail numbers in England and Wales have increased to a record high of 86,654, beating last week's total of 85,523.
The Prison Governors Association warned jails would run out of space if they continued to fill up at the current rate but there was no immediate crisis.
The Prison Service said it was developing contingency plans.
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