On the other hand, the security agreement could help curb U.S. actions, such as the Sunday raid. The draft agreement rules out the use of Iraqi territory as a base for U.S. aggression against other countries. Iraq insisted on such language to assure Iran that it would not assist any U.S. attack against Iran's nuclear facilities.
Also, the agreement would require the United States to coordinate military operations with a joint U.S.-Iraqi commission, giving Iraq the chance to raise objections before U.S. raids.
Regardless, opponents of the deal are likely to see the U.S. raid on Syria as reinforcing their view that Iraq would be powerless to prevent the United States from military action. For many Iraqis, the feeling that they run their own country means more than the deal's fine print.
Complicating the situation is the complexity of Iraq's relations with Syria. When Saddam Hussein was in power, the two countries were ruled by rival wings of the Baath party.
Many former Hussein loyalists fled to Syria after the U.S.-led invasion of 2003, and U.S. officials believe the country serves as a base for Sunni extremists to smuggle weapons and fighters to Iraq.
But relations between Iraq and Syria have improved somewhat, and earlier this month the Syrians sent an ambassador to Baghdad for the first time since the 1980s.
"We're trying to contain the fallout from the incident," a senior Iraqi foreign ministry official, Labid Abbawi, told the Associated Press. "It is regrettable and we are sorry it happened."
ABC News' Faisal Sidiq and the Associated Press contributed to the reporting of this story.