In a tweet, Ms Swaraj said, she has spoken to the mother of Kulbhushan Jadhav, Mrs. Avantika Jadhav and informed her about it.
A sovereign guarantee from Pakistan government was sought to ensure safety and security of both.
A staff member from the Indian High Commission will also be present at the meeting, Foreign Office spokesman Mohammad Faisal told the media.
Pakistan Foreign Office assured the safety and security of Jadhav's family.
Humanitarian senses seem to be prevailing in the Pakistani officials as after weeks of deliberations, they have finally allowed wife and mother of alleged spy Kulbhushan Jadhav to meet him in Islamabad jail on December 25th, 2018.More news: Sheffield Has Suspended Uber's Licence
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Earlier, Pakistan had agreed to give visa only to the wife of Kulbhushan Jadhav, sentenced to death by a Pakistan military court on charges of espionage and terrorism.
Pakistan claims its security forces arrested him from restive Balochistan province on 3 March past year after he reportedly entered from Iran.
In reaction to the move, India approached the International Court of Justice (ICJ) to hear the case. Jadhav's appeal with Pakistan Army chief General Qamar Javed Bajwa seeking clemency is still pending. India says Jadhav, a former naval officer, was on business in Iran when he was kidnapped. Jadhav's sentencing had evoked a sharp reaction in India. However India said that it was not keen on sending her alone to Pakistan.
Pakistan was ordered by the court to not execute the prisoner until further order.
At first Pakistan had only permitted his wife to meet him.