Sen. Chuck HagelCharles (Chuck) Timothy HagelOvernight Defense: Latest on historic Korea summit | Trump says 'many people' interested in VA job | Pompeo thinks Trump likely to leave Iran deal Should Mike Pompeo be confirmed? Intel chief: Federal debt poses 'dire threat' to national security MORE (R-Neb.) stressed that the United States should start "unwinding" its military presence in Iraq to allow the country to determine its own future.

Hagel, who visited Iraq this week with Barack ObamaBarack Hussein ObamaObama shares summer reading list ‘Three Californias’ plan would give Dems more seats Loyalty to Donald Trump is new normal for the Republican Party MORE and Sen. Jack ReedJohn (Jack) Francis ReedSunday Shows preview: Lawmakers, Trump allies discuss Russia probe, migrant family separation Overnight Defense: Senators offer bill to curb Trump's tariff power | Bill could get vote in defense bill debate | House panel unveils 4.6B Pentagon spending bill | Mattis says tariffs won't hurt NATO ties Senate defense bill eyes threats from Russia, China MORE (D-R.I.), said that the trip reinforced his belief that Iraqis understand that they'll be in charge of their country.

"And it is now time for the United States to start accepting the sovereignty of that country in ways that are real," said Hagel during a news conference in Jordan. "And that means for us to responsibly start unwinding our military presence. We have interests in Iraq. We will have interests in Iraq. But, listening to the Iraqi people and their leadership, and where they think they can go and want to go, and need to go, to build a nation that is not only sovereign and independent, but a nation that can govern itself, defend itself, and support itself."

Hagel made his remarks in Amman before introducing Obama. Both senators have supported a timetable for the withdrawal of U.S. combat troops from Iraq.