The freeze includes halting supplies for the new F-16 fleet, the report said on Monday citing Air Force spokesperson Brian Brackens.
The Pentagon will resume shipments "when the environment in Iraq is safe enough," Brackens said, according to the report.
On Sunday, three missiles landed on the US embassy's territory in Baghdad, with one of the missiles hitting the embassy’s restaurant. Several people were reportedly injured.
In early January, the Iraqi parliament voted to expel all foreign forces from the country and also raised the voice for ceasing cooperation with the international coalition. This came as a response to Washington's operation, in which Abu Mahdi Muhandis, the deputy commander of the Iraqi Shia militia, and Qasem Soleimani, an Iranian top general - both allegedly involved in the attack on the US embassy in Baghdad on 31 December - were killed.
Washington has threatened that it will impose sanctions on Iraq if the US forces are expelled. Meanwhile, when Salih met with US President Donald Trump on Wednesday, the latter reiterated US’s support for stability in Iraq.