Despite demands from the Iraqi government and many political parties, mostly Shi'ite parties, President Donald Trump has refused to pull the 5,200 US troops and earlier even threatened sanctions on Baghdad if it moved forward.
But Pompeo, without signaling a decision on troop levels, said the military presence would be on the table in a "strategic dialogue" scheduled for mid-June.
"With the global COVID-19 pandemic raging and plummeting oil revenues threatening an Iraqi economic collapse, it's important that our two governments work together to
stop any reversal of the gains we've made in our efforts to defeat IS and stabilize the country," Pompeo told reporters.
"All strategic issues between our two countries will be on the agenda, including the future presence of the United States forces in that country and how best to support an independent and sovereign Iraq," Pompeo said.
The United States will be represented by David Hale, the top career diplomat at the State Department, Al- Monitor reported.
Iraq's government was furious in January when the United States assasinated Iran's most prominent general, Qassem Soleimani, in a drone attack at the Baghdad airport.
Iraqi Shi'ite paramilitary forces have been blamed for more than two dozen rocket attacks since October against bases housing US troops and foreign embassies.
Adnan Zurfi, who is considered pro-Western, was last month given 30 days to pull together a cabinet in Iraq.
Pompeo said the United States would support any Iraqi leader who moves "away from the old sectarian model that ended up with terror and corruption."
US Central Command recently pulled back troops from smaller bases in Iraq, where they are vulnerable to attack, but said it was responding to risks from the coronavirus pandemic.
The United States invaded Iraq in 2003 to topple dictator Saddam Hussein, starting a disastrous war that wreaked havoc across the country.
US troops returned in 2014 as part of a coalition to fight the Islamic State extremist group.
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