AstraZeneca vaccine appointments for under 30s have been cancelled and those between 18 and 29 will now receive another jab instead.
This change of plan comes after a possible link between the jab and rare blood clots is being investigated.
However Government advisors are saying that getting the coronavirus vaccine is still safer than driving or cycling to work.
Member of the Scientific Pandemic Insights Group on Behaviours, professor Stephen Reicher, said it must be remembered that the chances of such clots developing are 'incredibly rare events.'
He told BBC Radio 4's World at One programme: "Something like 30 or 40 people drown in the bath every year, something like 1,000 people die falling down the stairs, something like 200 die from choking on their breakfast, and that's many, many more deaths than we get from these vaccines so actually taking the vaccine is actually one of the safer things you do in the day, it's definitely safer than cycling or driving to work. So these are incredibly rare events."
It was confirmed this week that giving the AstraZeneca jab to those under 30 would be halted as a precaution.
Figures still suggest that the risk of developing one of the blood clots is rare, with many experts stating taking a long haul flight, the contraceptive pill or actually having covid increases your chances of developing a blood clot more than the vaccine.
Up to the end of March, the Medicines and Healthcare product Regulatory Agency had received 79 reports of blood clots accompanied by low blood platelet count, all in people who had had their first dose of the Oxford/AstraZeneca vaccine, out of around 20 million doses given.
Of these 79 people a total of 19 people have died - which would equate to around one in a million, although the cause has not been established in every case.
Professor Anthony Harnden, deputy chairman of the Joint Committee on Vaccination and Immunisation, has urged people not to lose confidence in the Oxford/AstraZeneca jab, describing it as "a great vaccine."
Speaking on Good Morning Britain, Prof Harnden said there is a "much higher risk of getting severe blood clots from Covid than the extremely small risk from this vaccination".
Professor Sir Munir Pirmohamed, chairman of the Commission on Human Medicines, said recent research has shown that clots on the lungs occur in 7.8% of people who have Covid-19, while clots in the legs - known as deep vein thrombosis (DVT) - happen in 11.2% of Covid-19 sufferers.
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He told a briefing on Wednesday that almost a quarter (23%) of patients who end up in intensive care with Covid-19 "will have some form of clot".
He added that up to 30% of people who develop Covid-19 will get thrombocytopenia (lowering of the platelet count).
He said: "That puts into context that the risk of clots and lowered platelets is much higher with Covid-19 than these extremely rare events which are occurring with the vaccine."
Professor Sir David Spiegelhalter, a statistician from the University of Cambridge, said it was "crucially important" that the risk was set in context, and said the information given this week "shows there is a benefit-risk balance."
He told the PA news agency: "It looks like one in 100,000 for someone in their 20s or 30s, that's about the risk of dying in a road accident in three months, or in some sort of accident in about a month."
He said the balance of risk can depend on the situation, adding: "There is no hard and fast rule for any of this."
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He said a "substantial" part of the benefit of being vaccinated is knowing you are helping to protect people around you and "that is unbelievably important".
On the risk of developing clots from the vaccine, Health Secretary Matt Hancock said there was a similar risk in taking a long-haul flight.
According to the National Institute for Health and Care Excellence (Nice) the annual incidence of DVT is estimated to be about one in 1,000.
But the risk increases after long-haul flights, becoming one event per 106,667 flights that last less than four hours, one in 4,656 flights lasting more than four hours, and one in 1,264 flights lasting more than 16 hours.
While those are the figures for healthy people, the risk can increase further given other factors including obesity and age.
Dr Peter Arlett, head of data analytics at the European Medicines Agency (EMA), said that each year around four in 10,000 women who take the contraceptive pill will develop blood clots.
Anthony Masters, statistical ambassador for the Royal Statistical Society, said: "There is a low level of background risk in everyday life. There are risks we accept and risks we tolerate - as benefits outweigh risks.
"The risks from Covid-19, including blood clotting and persistent symptoms after infection, are much greater than minimal risks from vaccination."
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In response to discussions comparing the risk of blood clots associated with the AstraZeneca vaccine with those of combined hormonal contraception experts have said that risk discussion must not pave way to 'pill scare.'
Clare Murphy, chief executive of the British Pregnancy Advisory Service, said: "It is vitally important that discussions comparing the risks of blood clots associated with the AstraZeneca COVID-19 vaccine with those of the contraceptive pill do not pave the way to a repeat of the 1995 “ Pill Scare ” which led to a significant increase in unplanned pregnancies.
"Nothing is risk free but these are both safe medical technologies, and the risks and benefits of both need to be evaluated within an individual context."
She said that reassuring the public about the safety of the AstraZeneca vaccine must not 'come at the expense' of trusting the 'most commonly used contraceptive method in the UK.'
Clare Murphy added: "We advise that any woman who is concerned about their current method of contraception seeks advice from their GP before discontinuing.
"An unplanned pregnancy presents a greater risk of VTE than the use of the combined hormonal contraception. Any woman who has a pregnancy she knows she does not want to continue should be able to access abortion care as swiftly as possible."
