Thomas Cook will operate nine extra flights to bring British tourists home from The Gambia over the next two days.
Around 1,000 sun seekers on Thomas Cook packages were ordered to pack their bags and head for the airport on Tuesday after the Foreign Office issued a travel alert.
A Thomas Cook spokesman said around 3,500 people will have been brought home by Friday.
"Over the next two days we will be operating nine extra flights from Banjul airport, in addition to two scheduled flights, to bring home our remaining UK customers," the spokesman said.
"To help our customers with check-in and departure we are flying additional colleagues out from the UK on the first flight tomorrow.
"By the end of Friday 20th January we expect to have brought home approximately 3,500 passengers on a total of 16 flights."
The main opposition has said it is unhappy at the offer of asylum for Yahya Jammeh who had refused to step down as president.
Regional troops have secured the presidential palace in the Gambia's capital but there are fears the former leader has raided state coffers.
It ends a political standoff that briefly saw Yahya Jammeh and Adama Barrow claiming leadership of this tiny West African nation.