Aviation minister Robert Courts told an Airlines UK conference the Government “will be reviewing the policy in January”.
“We’ll be looking to see what we can do at that stage,” Mr Courts said.
He also said that reforming the UK’s airport slots system, which saw the usual “use it or lose it” takeoff and landing rights waived during the pandemic, remains a priority for the UK government.
“We are carefully considering the role of the slot system as part of our future aviation strategy,” he said.
It comes amid complaints from airlines who claim that day two coronavirus test requirements and passenger locator forms are putting people off travelling to and from the UK.
At present, there are no longer any countries on the UK’s travel red list, so no traveller to the UK has to pay for hotel quarantine on arrival.
However, Transport Secretary Grant Shapps has said this could change if needed.
Fully vaccinated passengers travelling to the UK no longer have to take a Covid test before setting off.
Upon arrival to the UK, those who are fully vaccinated must take a lateral flow test after two days- these must be via a private provider as NHS kits cannot be used.
If they have ordered a home testing kit, they will usually have to send a picture to verify the result.
All travellers coming to the UK must also fill in a passenger locator form up to 48 hours before their journey.
Those who are not fully vaccinated are required to self-isolate at home for 10 days after arrival in the UK.
They must also take a PCR or lateral flow test in the three days before travelling to the UK and take another test on or before day two and on or after day eight after their return.
Last week the Government announced that travellers who have had a booster dose of a Covid jab in England are now able to prove their vaccination status using the NHS Covid Pass.
It enables quarantine-free travel to countries such as Israel, Croatia and Austria, which have a time limit for vaccination status to be valid.
Third doses are not being added to the domestic pass as they are not currently needed to qualify as fully vaccinated.