(CNN) -- With the holy month of Ramadan approaching, lawyers for four Guantanamo Bay captives are trying to end forced-feeding at the U.S. detention facility in Cuba.

Shaker Aamer, Ahmed Belbacha, Nabil Hadjarab and Abu Wa'el Dhiab seek a speedy hearing to have their complaint heard because Ramadan begins on the evening of July 8. The timing is urgent because Muslims who observe Ramadan fast daily from dawn to sunset.

The lawyers for the four filed the federal lawsuit in Washington on Sunday. U.S. District Judge Gladys Kessler set a deadline of noon ET Wednesday for the government to respond.

Navy Capt. Robert Durand of the Joint Task Force Guantanamo said it would be "inappropriate to comment on that current litigation at this time."

Addressing the religious requirements of Muslims during Ramadan, he said, "we essentially invert our schedule to accommodate these religious practices, including involuntary feeding."

The lawsuit says Aamer is a Saudi national and British citizen cleared by the Obama administration for release in 2009. Belbacha and Hadjarab, who are Algerian citizens, were first cleared for release in 2007 during the Bush administration and reauthorized for release by the Obama administration in 2009, the suit says. Dhiab is a Syrian national cleared for release in 2009, the lawsuit says.

The Council on American-Islamic Relations, the nation's largest Muslim civil rights and advocacy organization, repeated its call Monday for the force-feeding of hunger-striking prisoners at Guantanamo Bay to stop.

Ibrahim Hooper, the national director of communications at the council, said the practice of forced-feeding is always wrong and is particularly offensive during Ramadan.

"We've asked for the forced-feeding to be stopped in any case. ... It sends a very negative message to the Muslim world."

Because of security measures in place, it's difficult to determine how many detainees are on hunger strikes.

As of Tuesday, 166 detainees were at Guantanamo. Durand said 106 of them are being tracked as hunger strikers. Of those, 45 are being fed through tubes directly to the stomach or intestinal tract, he said.

The number could be higher: The Joint Task Force does not comment on the 15 "high-value detainees" being held in a separate camp at Guantanamo. Some of them could be on hunger strikes, as well.

CNN's Devon Sayers contributed to this report.