Workers said they were terrified the virus could spread globally through the busy international hub from the West African country which is in the grip of the deadly epidemic.
The woman, said to be 72, became ill on the gangway after she left a Gambia Bird jet with 128 passengers on board.
She died in hospital on Saturday.
Ebola has killed 256 people in Sierra Leone.
A total of 826 have died in West Africa since the outbreak began in February.
Tests were carried out to see if the woman had the disease.
The plane was quarantined as officials desperately tried to trace everyone who had been in contact with the woman.
Airport workers faced an anxious wait to see if the woman had Ebola. One said: “Everyone’s just petrified.
“We’ve all seen how many people have died from Ebola, especially in Sierra Leone, and it’s terrifying.”