The September report has been cast as a pivotal time for determining the course of the war in Iraq.
Odierno, a deputy to General David Petraeus, the U.S. military commander in Iraq, also said changing military strategy in Iraq too quickly would endanger U.S. forces.
Nearly 30,000 extra U.S. troops have been sent to Iraq in recent months in an effort to improve security.
But U.S. President George W. Bush is facing mounting pressure in Congress and from the public to bring them home.
On July 19, four more U.S. solders were reported killed along with their Iraqi interpreter in a roadside bomb attack in eastern Baghdad.
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