Mozammel Hossain, father of Minni, filed the petition with the court
Hearing on the petition is likely to be held at the HC bench of Justice M Enayetur Rahim and Justice Md Mostafizur Rahman on Monday, said her counsel ZI Panna Khan.
On August 8, the High Court refused to grant bail to Minni in the case.
Rifat Sharif, 22, was attacked with sharp weapons near the main gate of Barguna Government College on June 26. Minni appeared to be trying to protect him during the attack.
Police have so far arrested 16 people over the murder. Besides, main accused Sabbir Ahmed alias Nayon Bond was killed in a reported gunfight with law enforcers on July 2.
Police arrested Minni on July 16 over the murder of her husband and was denied bail several times.
She reportedly confessed to her involvement in the murder before the court on July 19, two days after her arrest.
On July 31, Minni filed a petition with a Barguna court seeking withdrawal of her confessional statement over the murder.