People entering the UK from 10 countries in southern Africa must currently spend 10 full days in a quarantine hotel, at a cost of PS2285 ($A4318) for solo travellers.

On Monday, Owen Hancock, 35, and Emily Mennie, 30, were due to enter hotel quarantine on their return from a break in South Africa.

They say they were left stranded when the country was added to the UK's red list due to concerns about the Omicron coronavirus variant.

The couple, from Tooting, London, were visiting Mennie's family for the first time since the start of the pandemic when their travel plans were thrown into chaos.

When they finally managed to book their journey home, they were told hotel quarantine was full and they would have to reschedule their flights and PCR tests.

They say this added to their financial woes and are now facing a PS4000 ($A7559) credit card bill on their return.

The couple have set up an online petition, which has attracted more than 40,000 signatures, calling on the government to fund hotel quarantine costs for travellers caught in the same situation when new measures are imposed at short notice.

"This ridiculous and unjustifiable policy was re-introduced with no prior warning, no ability for us to get home, and then to add insult to injury we were unable to get a room," Mennie said.

"The government's handling of this has been shambolic and that's evident from the number of people who have signed our petition and call on the prime minister to rethink."

The couple say they have complied with all guidance and every restriction since the pandemic began.

They are backing a case brought by law firm PGMBM who on Thursday will seek permission at the High Court for a judicial review of the government's mandatory hotel quarantine policy.

The firm will present evidence before a judge at a two-hour hearing to decided whether a review will be granted.

Tom Goodhead, managing partner at PGMBM, said: "We wholeheartedly appreciate the seriousness of the Omicron variant, as well as the efforts of governments and healthcare workers to tackle it.

"This does not, however, mean that policies which constitute extraordinary violations of traditional liberties and human rights can escape the careful judicial examination they deserve.

"Hotel quarantine is a fundamental breach of people's human rights. Law-abiding citizens who have been double vaccinated and tested negative should be free from hotel quarantine. The idea that they need to pay for the privilege of their own imprisonment is outrageous."

A government spokesperson said: "We are determined to protect our country and the progress we have made thanks to the vaccine rollout.

"We make no apology for taking decisive action at the border and introducing hotel quarantine. Every essential check has strengthened our defences against the risk of new coronavirus variants such as Omicron."

Australian Associated Press