Israa al-Ghomgham, who has demanded for an end to discrimination against Shia Muslims and a release of political prisoners, was sentenced to death at a hearing earlier in August.
The final decision for the execution, which is most likely to be carried out by beheading, rets with Saudi ruler King Salman.
The kingdom has executed women in the past but this marks the first time a woman would be killed for political activism.
Several sources suggested that al-Ghomgham has already been executed but Amnesty reporter Laurie Hanna said: ‘As far as we are aware Israa al-Ghomgham has not been executed yet.’
The exact date of the execution is not expected to be announced before al-Ghomgham’s sentencing review on 28 October.
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Al-Ghomgham was arrested during a house raid in 2015.
Amnesty International figures show nearly 150 people were executed in Saudi Arabia last year.