The 74-year-old has been denied relief on six occasions earlier. He was sent to jail in August, 2013 for allegedly sexually assaulting a 16-year-old schoolgirl.
The move has come a day after Asaram got relief from the High Court, which allowed the defence to not only have access to the original documents pertaining to the age of the victim teenage girl but examination of the concerned witnesses also.
According to the sources, BJP leader Subramanian Swami may appear in the court for the second time as a pleader to take up Asaram's bail plea.
The ground for bail, like previous applications, is again the old age and ill health, victim's counsel Pramod Verma said.
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"Besides this, he has also mentioned in the application that the trial of the case was nearing completion with the last prosecution witness, the Investigation Officer of the case, being examined," said Verma.
He said that while moving the bail plea, the counsels for Asaram also cited heart attack to Asaram's wife to judge Manoj Kumar Vyas.
Earlier, three bail petitions of Asaram were turned down by lower court.
Apart from the lower courts, he had twice unsuccessfully approached the High Court and was also denied relief by the Supreme Court.