Sen. John Warner, R-Va., said lawmakers will be allowed to view the photos in private.
"When it may get into the public domain, I'm not able to answer that question," Warner told NBC's "Meet the Press."
Sen. Lindsey Graham, also a member of the committee that heard Rumsfeld's testimony on Friday, said the Bush administration needs to make public the additional photos as soon as possible. "If there's more to come, let's get it out," said Graham, R-S.C.
"For God's sake, let's talk about it because [U.S. military] men and women's lives are at stake given how we handle this," he said.
Previously released photos, depicting the torture and sexual humiliation of prisoners, have led to worldwide condemnation and led to calls for Defense Secretary Donald H. Rumsfeld's resignation.
Both Warner and Graham said they want Rumsfeld to stay on the job. Leading Democrats, including Massachusetts Sen. Edward Kennedy and House Minority Leader Nancy Pelosi of California, have said Rumsfeld should step down.
Warner called Rumsfeld "a man of conscience. He's strong, he's effective and I can continue to work with him."
The committee's top Democrat, Michigan Sen. Carl Levin, said the abuse at the Abu Ghraib (search) prison outside Baghdad indicated the failure of the administration's Iraq policy.
"This is not just a few guards in some kind of an aberrant conduct. This is a much more systemic problem here," Levin said.
"And the military intelligence, including I believe the CIA, ... have got to be held accountable, right up the chain."
Sen. Evan Bayh, D-Ind., said the scandal has tainted America's reputation and setback efforts to safeguard the country.
"The tragedy of this is, it goes directly to the heart of how we hope to win the war against terror and what we're hoping to accomplish in Iraq," Bayh told "Fox News Sunday."
"And that is that we are morally superior to our adversaries. We don't kill women and children. We don't torture people. We stand for freedom," he said.