Greece is to welcome Brits back to the country on July 1.
Tourism minister Haris Theoharis has now said the country wants Brits to return when it reopens to European holidaymakers on July 1.
It comes as the UK government is negotiating for a potential 'air bridge' this summer, which would allow for quarantine free holidays.
In an interview with BBC Radio 4's Today programme, the tourism minister said: "The final decision, from the UK and our point of view, will be in place in the next few days and I'm hoping the announcement will be positive from both sides."
And he confirmed there was no need for those returning to the UK from Greece to be quarantined.
He continued: "The point is that Greece is a safe country - we have proven that during this crisis and we will continue proving this in the exit stages of the health situation.
"We feel that the risk of someone contracting the disease in Greece is much lower than most of the countries in Europe and indeed the rest of the world.
Put to him that there was no point in the quarantine from those returning from Greece, Mr Theoharis replied: "Correct."
The Greek government had previously said it would resume flights between the two countries on June 15.
But officials later reversed this decision and delayed the reopening until July 1.
Greece has been praised for its impressive response to the pandemic, after authorities imposed a lockdown very early into the outbreak.
In the country of nearly 11 million, the total number of active cases currently stands at 3,310 and 190 deaths.
The Foreign & Commonwealth Office currently advises against all but essential travel abroad.
But this is expected to be changed to allow travel to countries with low rates of infection.
Transport Secretary Grant Shapps suggested this week that travel may only be allowed to countries with a test and trace system at the same standard as that used in Britain.
The MP told the Commons Transport Select Committee that countries must be able to effectively alert Brits if they have been in contact with a person who has coronavirus.
Outlining the questions being asked by UK officials, he said: “Do they have something equivalent to our NHS Test and Trace system? The Test and Trace system is enormous here now. We’ve got the capacity to test far more than is immediately required but that would allow for any uplift anywhere.
“Does the country we’re talking to have that kind of capability?”
He said another issue being considered is the rate of infection in each country.
Mr Shapps added that introducing air bridges is a “massive priority”, saying: “I understand entirely the pain that aviation is going through.
"I know both for airports, for airlines and actually for ground handlers as well, this coronavirus has been a complete disaster.”
