Greater Manchester Police says it has fulfilled recommendations made by the Manchester Arena Inquiry.
But he said there had been "positive moves" towards more training nationally.
The public inquiry found a decision to send fire crews three miles away from the scene led to firefighters arriving more than two hours later. Gerard Blezard, director of operations for North West Ambulance Service, said 6,000 staff would need the training, which would mean a significant cost and the organisation does not yet have the infrastructure availability.Mr Blezard said: "I'd say it's a big challenge for us. I don't think it's something we can deliver in the immediate future.
However, Mr Blezard said he was satisfied the service was making real changes, which could save lives, but some of the changes were ongoing.
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