The parents of Madeleine McCann are "very encouraged" that Portuguese police are not currently seeking to reinterview them, their spokesman said.
Madeleine McCann was last seen in Praia da Luz on 3 May
Kate and Gerry McCann have also learned that other lines of inquiry are not being ruled out by detectives.
Earlier this month the couple were declared formal suspects over the disappearance of their daughter.
Madeleine, four, of Rothley, Leics, went missing during a family holiday in Praia da Luz in the Algarve on 3 May.
Spokesman Clarence Mitchell said the announcement by police meant the couple could focus on keeping a normal life.
"They find this very encouraging, they're very pleased and they see it as a positive step in the right direction," he said.
"It means that they can stay in Britain, but don't have to face questioning.
"And that means that they can focus on keeping a normal life around Sean and Amelie, their other children, and fighting the campaign to find Madeleine."
On Wednesday a prosecutor overseeing the case, Luis Bilro Verao, said no new evidence had emerged since the couple were declared "arguidos", or official suspects, to justify questioning them again.
The statement said: "Following the interrogations carried out on 7 September, no new evidence justifying new interviews has been determined.
"According to the evidence gathered so far the conditions are considered adequate."
Prosecutors have said investigations into other lines of inquiry would continue, but added there would be no change to the couple's status.
In another development, Kate and Gerry McCann are reportedly concerned that their phone lines have been tapped by Portuguese police.
"That feeling is based on being told by figures in authority that this happened, they have good reason to believe that their phones have been listened to," a source said.
The McCanns returned to their home in Rothley last week.
They will be able to stay at their family home as long as it is registered with Portuguese police. There are no plans at the moment for them to be re-called to Portugal.
The attorney general office's disclosure came after a judge examined a 1,000-page police dossier, including evidence involving Madeleine's parents.