All that a CCJ does is order you to repay the money which is owed. That's usually at a rate which the court believes that you can genuinely afford. It doesn't authorise action by bailiffs.
If you fail to comply with the terms of a CCJ, the creditor can then seek enforcement action. One such method is by obtaining a 'warrant of execution' from a court, to use County Court bailiffs.
So, once a CCJ has been issued, a creditor must give you reasonable time to comply with it. (Depending upon the exact terms of the CCJ, there would probably be several weeks before anything could happen because you'd failed to comply).
Then they'd have to submit an application before a court in order to obtain a warrant of execution. (That would probably mean another fairly substantial delay). Then you have the right to apply to the court for the warrant to be suspended.
To summarise:
If you comply with the CCJ, the creditor can't send the bailiffs in.
If you fail to comply, it will be many weeks (or, more probably, many months) before the bailiffs turn up.
Chris