The fire authority said it would be voluntary and firefighters would be offered a 20% salary rise.
The council's application sought a review on the grounds that the fire authority's consultation process was flawed.
Fire authority grants for a two-year period up to 2015 are currently being calculated by the government.
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Boris Johnson, who has ultimate power over the fire authority, said he would ensure the consultation continued.
Fire authority chiefs are to meet later on Tuesday to discuss changes at Llanelli fire station in Carmarthenshire.
The county fire authority said a rescue vehicle would be retained at Huntingdon but would be crewed differently.
Mr Shah said he had called an emergency meeting of the fire authority to discuss the mayor's intervention.
The fire authority agreed the plans last month following a five-year battle to save the station from night closure.
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But Fred Brown, chairman of Cambridgeshire and Peterborough Fire Authority, said a business case was yet to be completed.
London Mayor Boris Johnson, who has ultimate power over the fire authority, said he will "ensure" the consultation continues.
Suffolk County Council's cabinet meets next Tuesday, while the Cambridgeshire and Peterborough Fire Authority's next meeting is on 24 May.
Plans to close 12 fire stations with the loss of 520 jobs have been rejected by the London Fire Authority.
South Yorkshire Fire and Rescue has never met its own time target for responding to emergencies, according to fire authority figures.
BBC: South Yorkshire fire service misses response time target
"When the rescuer was lowered he lost sight of him, " said Division Chief Kris Concepcion of the Orange County Fire Authority.
Recommendations being put to the fire authority on 11 February also include a phased withdrawal of a rescue vehicle at Huntingdon.
BBC: Cambridgeshire firefighters set to oppose closure plans
She was suspended by the London Fire Authority last week for alleged bullying and harassment during the current dispute over shift patterns.
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"Rather than just accepting enormous budget cuts the fire authority should be telling the government that they are totally unacceptable, " he said.
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The fire authority said it had arranged a meeting for next Friday with the unions where they could discuss the proposed changes.
BBC: Somerset, Devon and Dorset fire services set to join forces
The county's fire authority said the car appeared to have gone out of control in the wintry conditions and hit the central reservation.
At a council meeting on Wednesday the Fire Authority agreed a proposal for round-the-clock cover using a smaller fire engine and fewer crew.
Firefighters would be offered a 20% salary rise in return for the change in hours being considered by Devon and Somerset Fire Authority.
The fire authority said the plans were "part of a county-wide programme to improve levels of fire cover where it is most needed".
The Royal Berkshire Fire Authority had proposed shutting the station from 20:00 to 08:00 because it only averaged three calls a week at night.
It comes after Berkshire Fire Authority agreed last year to cut operating hours and provide a service from Slough between 2000 and 0800 BST.
The London Fire Authority has voted not to comply with Boris Johnson's order for a public consultation on plans to close 12 fire stations.
BBC: London fire closure plans: Authority votes against mayor
Dorset Police and Dorset Fire Authority are both increasing their share of the council tax bill, but Bournemouth Borough Council will make a 0.7% cut.
The London Fire Authority has decided not to challenge Mayor Boris Johnson's order to hold a public consultation on proposed cuts to London Fire Brigade.
BBC: London Fire Authority agrees to allow cuts consultation
Jim Andrews, chairman of the South Yorkshire Fire Authority, said the engineering company that built the trucks went into administration before they could fix the problem.
Mid and West Wales Fire Authority says there is no reduction in the number of firefighters at the station, and just a change in crewing arrangements.
The approved inspector, a private company called JHA Innovation (JHAI) Ltd, issued the certificate, but without consulting the fire authority, which it was legally obliged to do.
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