Some Iraqi politicians are expected to review the draft beginning on Friday, although there is no timetable on a vote.
"Tomorrow the political council for national security will meet to discuss the draft of the security agreement," said Yaseen Majid, head of Maliki's press office on SOFA.
Still, some members of the Iraqi Parliament said they had not seen a copy as of Thursday, indicating the possibility of conflict in the approval process.
"This works against the passing of the agreement because there will be a lot of rumors about it and this could affect the members' decision," said Mahmood Uthman, a Kurdish member of parliament.
The SOFA is a contentious and much-discussed subject in Iraq, where religious leaders have spoken out both for and against the accord.
Sayyed Ali al-Sistani, the most influential Shiite religious figure in Iraq, has said the decision should be left to the Iraqis and the political parties. The reclusive leader who rarely speaks to the media told Maliki that he is calling for "including all Iraqi denominations into endorsing the deal through constitutional institutions."
Some believe that the pact is the best thing for Iraq and will prevent a coup in the fledgling democracy.
"The long existence of the American army is important for the security of Iraq," said 32-year-old Saad Jabbar. "This existence is a temporary security to give Iraqis a chance to rise and build their country."
The pact replaces U.N. Security Council Resolution 1511, which allowed the multinational force to operate in Iraq. The resolution expires at the end of this year.
Responding to speculation that the United States may seek alternatives, including an extension of the U.N. mandate, if a deal is not reached before the mandate expires, McCormack said, "We're focused on moving the SOFA process forward."