This specific text is not amongst the supplications that have been narrated from the Infallibles (peace be upon them). However, it is permissible to recite it in order to seek intercession from Imam Ali bin Abi Talib, for the fulfilment of one’s needs and wishes. All matters are in God’s power, but he made the Prophet and his progeny (peace be upon them) intercessors.
It was reported in some lineage books that amongst the sons of Abdullah bin Ja’far and Zainab (peace be upon them) is one by the name of Ali. His agnomen is Zainabi, relating him to his noble mother. This indicates the divine relation to Fatima Al-Zahra when the son relates to his mother and not to his father. Some experts in lineage said that he was a noble man and he has a progeny as per the book "Umdat-ul-Talib".