Sheffield MP demands answers over Covid-19 vaccine shortage
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But instead he told how it is getting significantly fewer as doses are diverted to other parts of the country where fewer jabs have been administered.
Mr Betts said Sheffield had received around 12,000 doses of vaccine this week yet next week the city was only set to get some 9,000 doses to administer.
He told BBC Radio Sheffield: "It should be up every week now to get more people vaccinated.
"I don't know where the delay is - from the manufacturing process until its approval and transported down to the individual GP, at what point is there a delay?
"Every bit of delay is somebody's life and we have to think about it."
Mr Betts was speaking after a report revealed how one GP practice in Sheffield was due to receive just 400 doses next week, despite having the capacity to deliver 700 jabs a day.
"Why are we thinking about opening the arena when the GPs are going to do a lot more with the vaccines?" he asked.
He however said the Sheffield Teaching Hospitals NHS Foundation was not to be blamed for agreeing to open the centre as they were "acting on the instructions" by the NHS England.
"It is not their decision because the mass vaccine rollout is governed by the NHS at the national level. They have been doing brilliantly well at the local level.
"What we have got here is a PR exercise because there's not enough vaccine going into people's arms,” he said,
He added that the arena could be used in the future when the vaccination rollout has benefited everyone on the priority list.
"In the future, it may be needed but it is not needed immediately,” he added.