Matt Hancock told BBC Good Morning Scotland the next doses of the vaccine would arrive next week.
He said: “The next scheduled arrival will be next week and the numbers depend on how quickly Pfizer can manufacture it.
“It is being manufactured in Belgium and obviously right across the UK the job is to be able to get the vaccinations done as quickly as the manufacturer can create it, so we’ve been all working together really closely, the UK Government, which has been buying the vaccine and getting it delivered into the country, and then the NHS in the four nations of the UK.”
Asked how quickly the vaccine can arrive and in what sort of numbers, he replied: “We’ve got a broad schedule, there will be several million for the UK as a whole, so several hundred thousand for Scotland over the remainder of this month.
“We’ve got that as a broad delivery schedule but obviously the manufacturing process itself is complicated, so we’ve got to get the stuff in the country and then once it’s in the country we can be confident that we’re able to deliver it, and I’m sure the NHS across Scotland and across the whole of the UK is up to the challenge.”