It comes after officials in Surrey said on Monday there were considering the option, which would have given the extra powers to prioritise supplies for key workers.
A spokesperson for the South Yorkshire Local Resilience Forum, which is made up of emergency services, local councils and the NHS, said: “We are monitoring the consequences of the reduction in availability of fuel across South Yorkshire.
"We have a range of contingency plans in place to ensure core services can continue for some time, however the limited impact this is currently having on partner agencies means we have not yet needed to trigger those plans. No major incident has been declared in South Yorkshire.”
A spokesperson for West Yorkshire Prepared, the region’s Local Resilience Forum, said: “We would like to reassure people that our frontline emergency responders, including the police, fire and ambulance services, are not experiencing any issues due to the current fuel supply issues. All services have their own provisions to ensure they are self-sufficient for fuel.
“The LRF has liaised with all key partners and has confirmed there are no issues. Should any issues arise, our regional ‘Fuel Disruption Plan’ will be activated whereby mutual aid is offered where required to ensure business continuity. We will continue to communicate with all partners to monitor the situation.
“In the meantime, we would ask members of the public to fuel their cars as normal and only purchase what you need.”
A spokesperson for Humberside Police said: "Communities in the East Riding of Yorkshire and Northern Lincolnshire are being reminded that there is no fuel shortage in either area - and there is no need to panic buy.
"Concerns circulating in the media about a shortage of fuel have led to an increase in the number of motorists visiting filling stations.
"This has caused queues and congestion on some roads, which can cause delays to other motorists and have an impact on critical and emergency services.
"The current situation will not impact on the service Humberside Police provides to our communities. We are calling for the public to behave sensibly and not panic buy."
Boris Johnson said last night that the situation on the filling station forecourts is “stabilising” as he urged motorists to go about their business in the normal way.
Following days of chaos, with long queues for petrol and stations running dry, the Prime Minister said he understood the frustration felt by drivers as they struggled to fill up.
However he said that the indications from the industry were that the situation was beginning to improve with supplies returning to normal levels.
“On the forecourts the situation is stabilising and people should be confident and just go about their business in the normal way,” he said in a pooled interview with broadcasters.
His appeal came as Sir Keir Starmer accused the Government of reducing the country to “chaos” through its failure to deal with the fuel crisis.
The Labour leader said the haulage industry was “beyond frustrated” at the lack of a clear plan by ministers to alleviate the problems caused by the shortage of tanker drivers.
“The Government has reduced the country to chaos as we track from crisis to crisis. The Government is not gripping this,” he told BBC News.
“This problem was predictable and predicted and the Government has absolutely failed to plan.”
But with the Petrol Retailers Association (PRA) reporting “early signs” that the crisis was coming to an end, the Prime Minister expressed confidence the worst was over.
Mr Johnson said the Government was putting in place measures to ensure the entire supply chain could cope in the run-up to Christmas.
“I want to say first of all how much I sympathise with people who have been worried about their journeys, worried about whether they will be able to use their cars in the normal way,” he said.
“I know how frustrating and worrying it must have been to worry about a shortage of petrol and fuel.
“We are now starting to see the situation improve. We are hearing from industry that supplies are coming back on to the forecourts in the normal way.
“What we want to do is to make sure we have the preparations necessary to get through to Christmas and beyond, not just in the supply of our petrol stations but all parts of our supply chain.”
Mr Johnson rejected calls for healthcare staff and other workers to be given priority access to fuel, suggesting it was unnecessary given the easing of the situation.
After the Government announced it would be issuing 5,000 temporary visas to foreign lorry drivers to alleviate the shortages which led to the crisis, he also dismissed demands for more overseas workers to be admitted.
“What we want to see is a an emphasis on a high wage, high skill, high productivity approach to our economy,” he said.
“What I don’t think people in this country want to do is fix all our problems with uncontrolled immigration.
“We tried that for a long time and in the end, people could see that it was leading to a low wage, low skill approach without enough investment in people or in equipment.
“That’s not the way we want the UK to develop and grow.”
His comments came after Transport Secretary Grant Shapps acknowledged that Brexit, which cut off the supply of drivers from the EU, had been a “factor” in the crisis.
“No doubt it will have been a factor.
“On the other hand it has actually helped us to change rules to be able to test more drivers more quickly,” he told broadcasters..
“So, it has actually worked in both ways.”
Meanwhile PRA executive director Gordon Balmer said the numbers of filling stations reporting they had run dry was falling as fuel deliveries recovered.
“There are early signs that the crisis at pumps is ending, with more of our members reporting that they are now taking further deliveries of fuel,” he said.
“We have conducted a survey of our members this morning and only 37 per cent of forecourts have reported being out of fuel today.
“With regular restocks taking place, this percentage is likely to improve further over the next 24 hours.”
Ministers have insisted throughout the crisis that fuel stocks remain high and that panic buying was unnecessary.
They argued the sudden surge in demand was driven by reports of of a shortage of a small number of tanker drivers leading to some hold-up in deliveries.
Nevertheless the Government announced on Monday that it was putting troops on standby to drive tankers as a “precautionary step” if problems persisted.
But with long queues for petrol continuing some senior Tories urged ministers to go further and begin actively deploying the military to restore public confidence.
The chairman of the Commons Defence Committee Tobias Ellwood told Sky News: “Simply hoping this situation will return to normal is not a strategy.
“I believe the Army should not just be put on standby but in fact mobilised, be seen to be used.
“That will help ease the pressure on shortages of course, it will return public confidence.”
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