Urgent calls have been made to allow keyworkers priority access to certain petrol stations in a bid to keep schools and hospitals open.
If the measures get the go-ahead essential workers such as paramedics, teachers and police officers would get "priority access" whilst other motorists would be capped on the amount they could spend on fuel, reports the Mirror.
These calls have been made following a fifth day of long queues across England at petrol stations.
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Prime Minister, Boris Johnson, is under pressure from NHS groups, unions and the British Medical Association (BMA) to make sure doctors, nurses and other key workers get fuel first.
The British Medical Association (BMA) said that as pumps run dry "there is a real risk that NHS staff won't be able to do their jobs".
Unison called on ministers to use emergency powers to "designate fuel stations for the sole use of key workers".
And the Royal College of Nursing warned that the fuel supply problems could see patient care compromised as it backed calls for health and care workers to be prioritised.
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It comes amid reports of doctors being unable to get to work due to the fuel crisis.
Campaign group EveryDoctor said that at least one NHS organisation held an emergency meeting after staff were unable to attend.
A hospital consultant in Bedfordshire told the organisation, which represents 1,700 doctors: "We had an emergency discussion this morning. Two consultants in our department are out and can't get to work. Two others on reserve. All four petrol stations within four miles of our hospital are closed with no fuel."
But the Royal Pharmaceutical Society (RPS) insisted that deliveries of essential medication were continuing as usual to pharmacies as it encouraged patients to collect prescriptions in their usual way.
Dr Chaand Nagpaul, chair of council at the BMA, said: "Emergency and essential workers rely on fuel both to travel to work and for their work itself - whether this is to get to hospitals, practices and other healthcare settings, or for ambulances to reach people in urgent need of care and GPs to visit very ill patients at home.
"Everyone will have their own reasons for needing to fill up, but as pumps run dry there is a real risk that NHS staff won't be able to do their jobs and provide vital services and care to people who urgently need it.
"While the Government has said it is putting plans in place to alleviate the shortage of HGV drivers to transport fuel, the results of this won't be immediate.
"Healthcare and essential workers must therefore be given priority access to fuel so they can continue their crucial work and guarantee care to patients."
Unison's general secretary Christina McAnea said: "The Government has to take control. It's no good ministers wasting time on a pointless blame game or pretending there's no problem.
"Essential staff must be able to get to their jobs so they can continue to provide the services so many rely upon.
"Ambulance crews, nurses, care workers, teaching assistants, police staff and other key workers mustn't be left stranded or forced to queue for hours simply to get to a pump.
"The Government could solve this problem now by using emergency powers to designate fuel stations for the sole use of key workers."
London Mayor Sadiq Khan also said designated petrol stations should be reserved for essential workers, adding: "In the fuel crisis of September 2000, the government brought in rules designating specific filling stations for essential workers, enabling the capital to keep moving.
"The Government must urgently look at taking the necessary steps so that those key workers who have to drive to work can do so."
Patricia Marquis, director for England at the Royal College of Nursing, said: "Healthcare services cannot afford to lose any more staff because they're unable to travel.
"We already know some nursing staff are warning their employers they may not be able to attend tomorrow to ensure shifts can be safely staffed.
"In light of these supply problems, health and care workers need to be a priority or patient care will be compromised."
Dr Julia Grace Patterson, chief executive of EveryDoctor, said: "Our Health Secretary Sajid Javid has been critical of telephone consultations recently - he clearly believes face-to-face appointments are necessary.
"We therefore need to know urgently what the Government's plan is to ensure that all NHS staff can reach their workplaces safely during this fuel crisis.
"Doctors are desperately concerned about patients and the Government must take responsibility and find a solution."