The Phase I trial in healthy adult volunteers began in April and more than 1,000 immunizations have been completed, the researchers said, noting that follow-up is now ongoing.
"The next study will enroll up to 10,260 adults and children and will involve a number of partner institutions across the country", they explained in the statement.
Dr. Anthony Fauci made a series of positive comments about Moderna's early COVID-19 vaccine data in interviews on Thursday night and Friday morning, sending shares higher by more than 5% on Friday.
Phase III of the study will assess how the vaccine works in a large number of people over the age of 18.More news: The Locked Vaults in Call Of Duty Warzone are Opening
Potential candidates will go through a screening process to ensure, among other things that they do not fall into a "vulnerable group", and they will be tested to ensure they have not previously been infected with COVID-19.
Some participants however have said that their opinion might change, if the Food and Drug Administration (FDA) or scientific studies proved that the vaccine was safe to take.
AstraZeneca says it is capable of producing a billion doses in 2020 and 2021.
Asked who should come forward to take part, Prof Pollard said "very healthy individuals" will be initially selected.
With 252,246 cases and 36,124 deaths the U.K.is one of the most impacted countries by the coronavirus pandemic.More news: Madison Bell: Ohio woman missing, authorities seek person of interest
The development of a coronavirus vaccine is seen as one of the key milestones in controlling the spread of the virus. It's among a slew of companies, including Pfizer and AstraZeneca, rushing to develop a vaccine for the COVID-19 virus.
She said: "This is an incredibly important study to be involved in and we are delighted to be able to utilise the incredible respiratory infection expertise that we have within our team at LSTM, and across Liverpool and Merseyside to make a vital contribution from the Northwest to this UK-wide phase of this pivotal clinical trial".
Since the new virus emerged in China late previous year, COVID-19 has spread around the world, infecting more than 5 million people and killing more than 300,000.
Fox News' Christopher Carbone contributed to this article.More news: Boris Johnson u-turns on surcharge on worldwide NHS workers after Tory rebellion