Mahfuza courted trouble after her remarks in a news conference last month in which she said Hasina was neglecting football in the cricket-obsessed country.
A sport organiser filed a defamation case against the 52-year-old who was arrested on Saturday.
"Hopefully, we'll file a bail petition tomorrow," her lawyer, Liakat Hossain, told Reuters on Monday.
The lawyer said Mahfuza was denied bail on Saturday but she was an "established woman" who represented the country abroad should be granted bail.
"We will file a bail petition again."
Hasina's administration has recently been accused of cracking down on free speech and adopting an increasingly authoritarian style.
The government of Hasina, who won a third straight term in a Dec. 30 election marred by violence and allegations of widespread rigging, denies freedom of speech is under attack in the country of 165 million people.
Abul Hasan Chowdhury Prince, who filed the case against Mahfuza, said her comments against Hasina were derogatory.
"I lodged the case as she made derogatory remarks against our sports-loving prime minister," he told Reuters.
(Writing by Amlan Chakraborty; Editing by Robert Birsel)
