“It’s a mess,” said one senior Obama administration official who has been briefed on the draft assessment and who, like two other American officials briefed, spoke on the condition of anonymity because of the continuing review and the delicate nature of the assessment.

The draft of about 120 pages is now being reviewed by Gen. Lloyd J. Austin III, the head of the military’s Central Command, which oversees operations in the Middle East. General Austin could make changes or request additional information from the assessment teams in Iraq, but a final version is expected to be sent to Defense Secretary Chuck Hagel and other top Pentagon officials this week, officials said.

Rear Adm. John F. Kirby, the Pentagon press secretary, declined on Sunday to comment on the draft assessment, saying in a statement, “Though the initial work of the assessment teams is largely complete, senior leaders have yet to formally receive or review it.”

The assessment does not contain specific recommendations. Those will be developed separately by the Central Command and the military’s Joint Staff once the final report is forwarded to the Pentagon and shared with President Obama and his top national security aides.

As ISIS advanced across northern and western Iraq, six teams of American Special Operations forces were rushed in to assess an Iraqi Army that was trained and equipped by the United States at a cost of more than $25 billion, but which experienced a drop-off in training after the American withdrawal and has been greatly handicapped by Mr. Maliki’s push to appoint commanders based more on political loyalty than military skill.

The assessment, which took two weeks to prepare under the guidance of Maj. Gen. Dana J. H. Pittard of the Army, graded the strengths and weaknesses of units down to the brigade level, examining their equipment, ammunition, sectarian makeup, morale, leadership and other indicators. Each unit’s overall capability was rendered in a blunt color-coded chart: green if capable; red if not.

One of the assessment’s conclusions was that Iraqi forces had the ability to defend Baghdad, but not necessary hold all of it, especially against a major attack. Already, the capital has been targeted by ISIS car bombs.