Boris Johnson will meet Nazanin Zaghari-Ratcliffe in Downing Street this afternoon.
The prime minister’s spokesperson confirmed Ms Zaghari-Ratcliffe will be accompanied by her husband Richard Ratcliffe and daughter Gabriella.
Other foreign office officials will also be present.
Ms Zaghari-Ratcliffe, 43, and fellow British-Iranian national Anoosheh Ashoori, 67, were released in March after the UK agreed to settle a £400m debt with Tehran dating from 1979.
Last month, a leading MP said Ms Zaghari-Ratcliffe is “right to ask for answers” as he launched a select committee inquiry into the government’s handling of her six-year Iran hostage ordeal.
The Foreign Affairs Committee, chaired by Conservative MP Tom Tugendhat, will examine how their cases were handled by the government as it carries out an inquiry into “state level hostage situations”.
Labour’s Tulip Siddiq, Ms Zaghari-Ratcliffe’s constituency MP, will also be attending the meeting in Number 10.
“I was pleased to be invited to Number 10 along with my constituent Nazanin Zaghari-Ratcliffe and her family. I know her seven-year-old daughter Gabriella was particularly excited to be meeting the prime minister,” she said.
“After six long years of unjust and unlawful imprisonment in Iran, Nazanin deserves to hear directly from the prime minister about why it took so long to get her home.
“We will use the meeting as an opportunity to raise the plight of British citizens like Morad Tahbaz who are still being held hostage in Iran and push the prime minister to do much more to secure their release. He has a responsibility to ensure that others do not have to endure the six years of torment that Nazanin was put through.
“I will also be submitting evidence to the Foreign Affairs Committee’s inquiry on hostage taking, which I hope will get the bottom of the government’s abject failure in handling cases like Nazanin’s.
“Never again must the government allow British citizens to be taken hostage with so little done to secure their release and so few reprisals for those responsible.”