A regional source from the NHS has urged people to see workers in pharmaceutical jobs or their own GP if they are currently suffering from a non-serious condition.
Mike McDermott, head of emergency planning at NHS East Riding of Yorkshire, explained that there is likely to be a significant increase in the number of slips and trips in the region as a result of the ice and snow.
"The area's A&E departments are under extreme pressure at the moment and staff need to be able to concentrate their efforts on those people with serious life-threatening illnesses or injuries," he said.
Mr McDermott suggested that people have various other options open to them, including seeing their GP, going to a walk-in centre or heading to a local pharmacy.
The current weather forecast for the UK by the BBC suggests the extreme cold is likely to continue over the next couple of days, with temperatures expected to rise as the weekend approaches.