The protection is a bit less than vaccines gave against earlier versions of Covid.
But it means the top-up dose should still keep many people out of hospital.
It comes as a record 861,306 number of booster jabs and third doses were given in the UK on Thursday.
Ver Spider-Man No Way Home 2021
The modelling, from the team at Imperial College London, is based on limited information on Omicron.
The researchers say there is a high degree of uncertainty until more real-world information is gathered about this new variant that is spreading quickly.
Experts are still trying to figure out how mild or severe Omicron will turn out to be.
Omicron: How worried should we be?
Omicron symptoms: Is a runny nose a cold or Covid?
Vaccines help teach the body how to fight Covid. But the current ones in use were not designed to combat the heavily-mutated Omicron variant, meaning they are not a perfect match.
To get round that, people in the UK are being advised to have a booster dose to build up higher antibody levels to fight the virus.
Antibodies can stick onto the virus to stop it entering cells and replicating.
Studies have suggested a 20 to 40-fold reduction in the ability of these antibodies to take out the virus in double-vaccinated people.
Spider-Man No Way Home Cuevana
The preliminary work from Imperial assumes there will be a drop in vaccine efficacy against Omicron.
Even with a booster, protection against severe disease from Omicron may be around 80 to 85.9%, compared to around 97% for Delta - the other variant that is currently dominant in the UK.
However, there are other parts of the immune system, such as T cells, that can fight Covid too. The modelling could not assess the impact of these.
One of the Imperial researchers Prof Azra Ghani said: "One remaining uncertainty is how severe the disease caused by the Omicron variant is compared to disease caused by previous variants.
"Whilst it may take several weeks to fully understand this, governments will need to put in place plans now to mitigate any potential impact.
"Our results demonstrate the importance of delivering booster doses as part of the wider public health response."
Dr Clive Dix, former chair of the UK Vaccine Taskforce, said: "There is a huge amount of uncertainty in these modelled estimates and we can only be confident about the impact of boosters against Omicron when we have another month of real-world data on hospitalisation, ICU [intensive care] numbers and deaths.
"It remains the case that we still need to get vaccines current and future to the whole world."
2px presentational grey line
Analysis box by Robert Cuffe, Head of statistics
Cases of Omicron are rising - and there's more to come.
The UK has recorded 3,201 new cases of the Omicron variant, up from yesterday's figure of 1,691.
It takes the total number of confirmed Omicron cases in the UK to 14,909 - although the true figure is believed to be much higher because not all labs can detect the variant and not everyone will come forward for testing.
So how long will it go on for? The modellers aren't sure yet.
They're talking about peaks early in the new year - if you keep on doubling and doubling and doubling cases, there'll eventually be more people getting infected than there are people in the UK - so there is a limit on this.
The real question - which still hasn't been answered - then becomes: how ill does it make people and how much pressure is it going to put on the healthcare system?
2px presentational grey line
Earlier, the government announced a further 861,306 booster and third dose jabs were given in the UK on Thursday - the highest daily total so far.
It means half of all UK adults had now received a booster jab, Boris Johnson said.
The protection is a bit less than vaccines gave against earlier versions of Covid.
But it means the top-up dose should still keep many people out of hospital.
It comes as a record 861,306 number of booster jabs and third doses were given in the UK on Thursday.
The modelling, from the team at Imperial College London, is based on limited information on Omicron.
The researchers say there is a high degree of uncertainty until more real-world information is gathered about this new variant that is spreading quickly.
Experts are still trying to figure out how mild or severe Omicron will turn out to be.
Omicron: How worried should we be?
Omicron symptoms: Is a runny nose a cold or Covid?
Vaccines help teach the body how to fight Covid. But the current ones in use were not designed to combat the heavily-mutated Omicron variant, meaning they are not a perfect match.
To get round that, people in the UK are being advised to have a booster dose to build up higher antibody levels to fight the virus.
Antibodies can stick onto the virus to stop it entering cells and replicating.
Studies have suggested a 20 to 40-fold reduction in the ability of these antibodies to take out the virus in double-vaccinated people.
The preliminary work from Imperial assumes there will be a drop in vaccine efficacy against Omicron.
Even with a booster, protection against severe disease from Omicron may be around 80 to 85.9%, compared to around 97% for Delta - the other variant that is currently dominant in the UK.
However, there are other parts of the immune system, such as T cells, that can fight Covid too. The modelling could not assess the impact of these.
One of the Imperial researchers Prof Azra Ghani said: "One remaining uncertainty is how severe the disease caused by the Omicron variant is compared to disease caused by previous variants.
"Whilst it may take several weeks to fully understand this, governments will need to put in place plans now to mitigate any potential impact.
"Our results demonstrate the importance of delivering booster doses as part of the wider public health response."
Dr Clive Dix, former chair of the UK Vaccine Taskforce, said: "There is a huge amount of uncertainty in these modelled estimates and we can only be confident about the impact of boosters against Omicron when we have another month of real-world data on hospitalisation, ICU [intensive care] numbers and deaths.
"It remains the case that we still need to get vaccines current and future to the whole world."
2px presentational grey line
Analysis box by Robert Cuffe, Head of statistics
Cases of Omicron are rising - and there's more to come.
The UK has recorded 3,201 new cases of the Omicron variant, up from yesterday's figure of 1,691.
It takes the total number of confirmed Omicron cases in the UK to 14,909 - although the true figure is believed to be much higher because not all labs can detect the variant and not everyone will come forward for testing.
So how long will it go on for? The modellers aren't sure yet.
They're talking about peaks early in the new year - if you keep on doubling and doubling and doubling cases, there'll eventually be more people getting infected than there are people in the UK - so there is a limit on this.
The real question - which still hasn't been answered - then becomes: how ill does it make people and how much pressure is it going to put on the healthcare system?
2px presentational grey line
Earlier, the government announced a further 861,306 booster and third dose jabs were given in the UK on Thursday - the highest daily total so far.
It means half of all UK adults had now received a booster jab, Boris Johnson said.
- Senior U.S. and Russian officials launched special talks on strategic stability on Monday as part of a flurry of diplomatic activity in Europe this week
- France is tightening Covid restrictions for travellers arriving from the UK, as the government in Paris tries to slow the spread of the Omicron variant.
- German police raided several properties in Dresden on Wednesday morning after uncovering plans to murder the governor of the state of Saxony
- A major incident is declared in London - and the number of confirmed Omicron case rise by more than 10,000 in a day - as the coronavirus variant surges.