Hundreds of British nationals have been evacuated from the fighting in Sudan.
But when she was asked whether the UK was going to "start looking at safe routes for refugees from Sudan [who are not British nationals]", Home Secretary Suella Braverman replied: "We have no plans to do that."
The prime minister confirmed the government's current priority was getting British nationals out.
Immigration Minister Robert Jenrick was later asked in Parliament what "safe and legal" routes to the UK would be available to a young person wanting to flee the conflict in Sudan.
He said: "The United Nations is operating in most, if not all, of the countries surrounding Sudan," adding that "the best advice clearly would be for individuals to present to the UNHCR. We already operate safe and legal routes with them."
The UNHCR is the UN's refugee agency.
But the SNP's Alison Thewliss pointed out that the UNHCR had earlier issued a statement saying: "There is no mechanism through which refugees can approach UNHCR with the intention of seeking asylum in the UK."
Mr Jenrick rejected her comments: "Whatever the honourable lady may be quoting from her iPhone, I would prefer to take at face value what I have heard in discussion with the assistant commissioner [of the UNHCR]."
Mr Jenrick and Ms Thewliss were both referring to the UNHCR's resettlement scheme.
Under this, the UNHCR identifies refugees who are considered to be "particularly at risk" in the countries to which they have initially fled.
These are people who cannot integrate in the country where they have initially sought refuge but also cannot return home.
These "refugees at heightened risk" are then resettled in partner countries such as the UK, but it is UNHCR officials who recommend where they should go.
That route is only available to about 1% of refugees worldwide.
"Although a critical and lifesaving mechanism, resettlement is not a solution for most refugees, and does not replace the right to seek asylum itself," the UNHCR said.
Seeking asylum generally involves going to a country and claiming asylum once you are there.
Resettlement involves moving people from the first country where they sought refuge to another country that is more suitable.
Refugees generally have to be registered with the UNHCR to be considered for resettlement.
But the UNHCR told the BBC that the UK is only currently accepting Afghan nationals for resettlement. This means that registering with the UNHCR would not provide a route for anyone else to come to the UK.
So Mr Jenrick's suggestion that people in Sudan wanting to escape to the UK should "present to the UNHCR" was not correct.
We asked the Home Office about the UNHCR statement and the government's current position on safe and legal routes from Sudan.
We were pointed towards the comment from Ms Braverman quoted above, and told there was no further comment at this point.
According to UK statistics, last year 218 people from Sudan came to the UK under the UNHCR resettlement scheme, but almost all of those came from pre-pandemic applications.
What claims do you want BBC Reality Check to investigate? Get in touch
Read more from Reality Check
Chaos at port as thousands rush to leave Sudan
Air strikes pound Sudan capital as truce extended
Suspected IS chief killed in Syria, Turkey says
What Europe's royals could teach King Charles
Explore in 3D: The dazzling crown that makes a king
LGBT troops take love for Eurovision to front line
Inside Thailand's 'weed wonderland'
Why an Indian comedian is challenging fake news rules
Was ‘Johnny Softsword’ really England’s worst ever king? Video
Stuck at Sudan border as drivers demand $40,000 to cross
Fight not flight for Harry as he prepares to take stand
How a Hollywood strike could affect your TV
The fading glamour of hustle culture
Did a Black man discover the North Pole?
A misunderstood horror masterpiece
© 2023 BBC. The BBC is not responsible for the content of external sites. Read about our approach to external linking.