ABOARD A US MILITARY AIRCRAFT (AFP) - The top US military commander floated the idea late Wednesday (May 17) of Nato assuming some responsibility for training troops in Iraq after Islamic State in Iraq and Syria (ISIS) forces there are defeated.

The 28-member Atlantic alliance "might be uniquely posturing to provide a training mission for an enduring period of time" in Iraq, General Joe Dunford told reporters during his flight back to the United States from Brussels, where he attended a planning meeting ahead of next week's Nato summit.

"You might see Nato making a contribution to logistics, acquisitions, institutional capacity building, leadership schools, academies - those kind of things," Gen Dunford, who is chairman of the US Joint Chiefs of Staff, said.

The issue is at the top of the agenda for next week's summit, with US President Donald Trump pushing the allies to take on a greater role in combating terrorism.

After months of brutal, street-by-street combat, ISIS has lost control of most of its stronghold of Mosul in Iraq, while the militants have become largely isolated in Raqa in neighbouring Syria.

A change in who leads the training mission would likely also mean revamping the nature of the effort, Gen Dunford said.

"We are not talking about Nato doing what we are doing now for combat advising in places like Mosul or Raqa," the general said.

"I don't think we are at the point now where we can envision or discuss Nato taking over" all missions of the anti-IS coalition in Iraq, he added.

Nato's top brass said on Wednesday they believed the alliance should consider joining the anti-ISIS coalition put together by Washington to fight militants in Syria and Iraq.

General Petr Pavel, head of Nato's military committee, told reporters after chiefs of defence staff (CHODS) met in Brussels that it was time to look at this option.

"Nato members are all in the anti-IS coalition. The discussion now is - is Nato to become a member of that coalition," he said.