The vessel is expected to reach the Spanish island of Tenerife, off the coast of West Africa, on Saturday or Sunday.
"They will arrive at a completely isolated, cordoned-off area," said Virginia Barcones, Spain's head of emergency services, on Thursday.
MV Hondius is a Dutch-flagged vessel and Dutch officials said on Friday they were also in close contact with the ship's owner and authorities of countries whose citizens are on board.
The United States had agreed to send a plane to the Canary Islands to repatriate its 17 citizens from the cruise ship, Barcones said.
The British government also said it will charter a plane to evacuate the nearly two dozen British citizens onboard.
At least three passengers have died, and several other people are sick.
The World Health Organisation considers the risk to the wider public from the outbreak as low, and on Friday, confirmed that a flight attendant on a plane briefly boarded by an infected cruise passenger had tested negative for hantavirus.
Hantavirus is usually spread by the inhalation of contaminated rodent droppings and is not easily transmitted between people.
Symptoms usually show between one and eight weeks after exposure.
None of the remaining passengers or crew on the ship is symptomatic, the Netherlands-based Oceanwide Expeditions cruise ship company said.
Health authorities across four continents continue to track down and monitor passengers who disembarked the ship before the deadly outbreak was detected.
They are also trying to trace others who might have come into contact with them since then.
On April 24, nearly two weeks after the first passenger had died on board, more than two dozen people from at least 12 countries left the ship without contact tracing.
It was not until May 2 that health authorities first confirmed hantavirus in a ship passenger, the WHO said.
The KLM flight attendant who tested negative for the virus was working on a flight headed from Johannesburg to Amsterdam on April 25, and had later fallen ill.
She was taken to an isolation ward at an Amsterdam hospital on Thursday.
The cruise passenger briefly aboard that flight - a Dutch woman whose husband died on the ship - was too ill to stay on the international flight to Europe and was taken off the plane in Johannesburg, where she died.
The Dutch public health service is undertaking contract tracing on passengers from the flight who had contact with the ill woman before she left the plane.
On Friday, UK health authorities said a third British national was suspected to have the hantavirus.
The UK Health Security Agency said the suspected case was on Tristan da Cunha, a remote British overseas territory in the south Atlantic where the ship stopped in April.
Two other Britons who were on the ship have been confirmed to have the virus.
One is hospitalised in the Netherlands and the other in South Africa.
Authorities in South Africa are working to trace contacts of any passengers who previously left the ship.
They have focused mainly on an April 25 flight from the remote island of St Helena in the South Atlantic to Johannesburg, the day after some passengers disembarked on the island.
