Nadhim Zahawi said the 24-hour rollout could be trialled in the capital before potentially being expanded elsewhere.
It comes two months after Eurostar warned it is “fighting for its survival”, claiming to have been treated “unfairly”.
Police have issued a statement reminding the public that coronavirus vaccines will only be available via the NHS and is free of charge.
Police are urging dog owners to keep their pets on a tight lead after it emerged that incidents of pets worrying deer herds have shot up during lockdown.