David Cameron has said he would consider an ebola quarantine system for health workers returning from west Africa.
The Prime Minister said he would consider the move if the chief medical officer recommended it.
Scottish Nurse Pauline Cafferkey, 39, is currently being treated for ebola in isolation at the Royal Free Hospital in north London after returning from Sierra Leone.
Yesterday it emerged her condition was deteriorating.
Asked whether airport screening is failing, Mr Cameron told BBC1's Andrew Marr Show: "Her temperature was taken several times but then she was allowed to go on and travel to Scotland and what I have said very clearly is we should have a precautionary principle in place.
"If you are still in doubt, if there's uncertainty, there's proper arrangements for you to go to the Northwick Park Hospital in Middlesex to be observed and to have further tests there before going further.
"That is happening already, I am absolutely clear about that.
"If we need to change further, if the chief medical officer says we need a system of quarantine or anything like that, then we should put that in place.
"But it is important to listen to the medical experts and then make the decision."
The Government's chief medical officer, Dame Sally Davies, acknowledged last week that questions had been raised about the airport screening procedure for ebola.
The Prime Minister also praised the bravery of aid workers traveling to west Africa to help those with ebola.
He said: "It's (ebola) certainly the thing uppermost in my mind today with Pauline Cafferkey in hospital, and all of us are thinking of her and her family.
"And also how incredibly brave these people are, not only doctors and nurses from our NHS but also people from our armed forces who have been working in west Africa in very difficult conditions."
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