Ministers are finalising changes to the travel Covid testing requirements after industry groups called for remaining restrictions and tests to be removed.
The BBC understands the government could scrap the need for people to test two days before arriving in the UK.
With data last week suggesting one in 25 people in England had the virus, airlines have said passenger testing is making no real impact.
They said compulsory testing has held back the sector’s recovery.
It comes as the prime minister is to meet his cabinet and urge them to back his decision not to impose any further Covid restrictions in England.
The BBC understands alongside changes to travel test, the government is discussing the removal of advice that people who test positive on a lateral flow device should seek a confirmatory PCR test.
On Tuesday, Boris Johnson said he hoped the country could “ride out” the current wave, although he acknowledged parts of the NHS would feel temporarily overwhelmed.
The government has said it continued to “keep all measures under review”.