Spain's foreign affairs minister has told the BBC that British citizens will be allowed to enter the country freely, without the need to self-isolate.
She said the decision had been made "out of respect" for the 400,000 Britons who have second homes in Spain.
But current rules state that anyone returning to - or entering - the UK still has to self-isolate for 14 days.
It is understood the UK's quarantine restrictions will be reviewed on 29 June.
The UK Foreign Office is still warning against all but essential international travel.
Spain's foreign affairs minister Arancha González Laya said UK visitors will go through a "triple check" upon arrival to Spain.
They will be asked for their country of origin and to register "so we know we have a contact point to trace them", she said. They will also undergo a temperature check.
"We want to make sure that we welcome visitors, but we want to do this in safety and security for them, as well as for the Spaniards," she said.
Ms González Laya said discussions were continuing with the government about exempting Spanish visitors from the UK's current quarantine travel rules.
"We do hope that [the British authorities] will be sensitive to the 250,000 Spaniards that are also living in the UK and would very much like to enter the UK without quarantine," she said.
But she added: "We also respect that countries look at entry or exit restrictions on the basis of their own data."
Spanish officials are also identifying locations in each of the country's regions where travellers "will be isolated and treated" should they require hospital treatment, according to Ms González Laya.
Since 8 June, people arriving in the UK have been required to self-isolate for 14 days to help slow the spread of
coronavirus.
The government is now planning to relax its travel quarantine rules for some countries in early July.
UK officials are talking to their counterparts in Portugal, France, Italy, Greece and Spain, and ministers are hoping to make an announcement on 29 June that the government has secured a number of "travel corridors".
The government had previously said that the quarantine would be reviewed every three weeks and 29 June marks the end of the first three-week period.
