Shafqat Hussain was sentenced to death for killing a seven-year-old boy in Karachi in 2004 but has had several stays of execution, most recently in June.
The case has prompted grave concern among human rights campaigners as Hussain's lawyers and family claim he was only 15 at the time of the killing, though a government-ordered probe ruled he was an adult.
Hussain's supporters also say he was tortured into confessing.
Late Monday the local government in the Kashmir region, where Hussain is from, requested a stay of execution while they look into the controversy surrounding his age.
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"It is in the interest of justice that the execution of Mr. Hussain ... Be postponed on humanitarian grounds," he wrote.
Khan added that he had also asked the local government in Sindh province, where Hussain is jailed, to look into allegations that torture was used to extract a confession.
Late Monday, however, the federal government was yet to announce any postponement.