US Defense Secretary Jim Mattis is expected to raise the issue during a meeting in Rome this week with other members of the coalition that is fighting the Islamic State in Iraq and Syria.
The SDF is currently holding thousands of IS detainees, including hundreds of foreign fighters from a number of nations. The issue became more prominent in recent days, after the announcement that the SDF had captured two notorious British members of an Islamic State cell who were commonly dubbed the Beatles and were known for beheading hostages.
US officials have said putting the two in the Guantanamo Bay, Cuba, detention facility is not an option. And British leaders have suggested they don't want the two men returned to Britain.
"We're working with the coalition on foreign fighter detainees, and generally expect these detainees to return to their country of origin for disposition," said Kathryn Wheelbarger, the principal deputy assistant defense secretary for international security affairs.
"Defense ministers have the obligation and the opportunity to really explain to their other ministers or their other Cabinet officials just the importance to the mission, to the campaign, to make sure that there's an answer to this problem."
Speaking to reporters traveling with Mattis to Europe, Wheelbarger said the key goal is to keep the fighters off the battlefield and unable to travel to other cities.
"The capacity problem is very real," Wheelbarger said, noting that at one point the SDF was capturing as many as 40 militants a day. "Success in the campaign means you get more people off the battlefield. ... These facilities are eventually going to be full."
US military officials have confirmed that El Shafee Elsheikh and Alexanda Amon Kotey, who grew up in London, were captured in early January in eastern Syria.
US officials have interrogated the men, who were part of the IS cell that captured, tortured and beheaded more than two dozen hostages, including American journalists James Foley and Steven Sotloff, and American aid worker Peter Kassig.
Hundreds of foreign citizens fought alongside IS as it took control of large parts of Syria, raising concerns that they will bring terrorism with them if they ever return home.
The legal issues are daunting. Most nations, including the US, would be unwilling to take back detainees unless they have the evidence to prosecute them, and that often is difficult to collect in such battlefield captures.