People are being advised to buy fuel "as usual" as queues gather at petrol stations across Merseyside.
BP has said some garages in its 1,200-strong network were experiencing shortages – with Esso and Tesco also forced to close a small number of forecourts.
A spokesman for the prime minister said the government acknowledged that there were "issues facing many industries across the UK, and not just in terms of HGV drivers".
He added that there was no shortage of fuel and that there was a "very resilient and robust supply chain".
He continued: "People should continue to shop for fuel as usual."
BP’s head of UK retail Hannah Hofer told ITV that the situation looks “bad, very bad”.
Is your local forecourt closed - or have you had to wait a long time in a queue to get petrol? Email [email protected]
The closures come as the latest in a number of stores suffering from supply shortages, due in part to a shortage of HGV drivers.
The pandemic and Brexit have both played their part in this perfect storm of a crisis for the industry, with a backlog of driving tests within the DVLA limiting the number of new drivers available to alleviate the problem.
We'll be bringing you the very latest updates, pictures and video on this breaking news story.
Huge queues at Asda petrol station in Bromborough.
Huge queues in Southport
People are reporting waiting times of up to half an hour at Tesco in Kew, Southport.
I News has reported that Esso owner ExxonMobil said: “A small number of our 200 Tesco Alliance retail sites are impacted."
A spokesperson added: "We are working closely with all parties in our distribution network to optimise supplies and minimise any inconvenience to customers.
“We apologise to our customers for any inconvenience.”