At the same time, Iraq will be headed into its much-anticipated provincial elections, which U.S. officials have described as a crucial step in building national reconciliation by increasing participation by the Sunni minority.
Petraeus said conditions on the ground will still dictate his decision. But by September, when he is slated to assume control of U.S. Central Command, "my sense is that I will be able to make a recommendation at that time for some further reductions," he said.
Petraeus cautioned that he was not implying that that means a particular brigade or major combat formation. "But I do believe there will be certain assets that, as we are already looking at the picture right now, we'll be able to recommend can be either redeployed or not deployed to the theater in the fall," he said.
In a speech at Fort Bragg, N.C., President Bush said progress in Iraq was undeniable and that "we are on our way to victory." He also said he looked forward to hearing what his generals would recommend, and he didn't tip his hand as to what he wants to hear.
"My message to our commanders is you will have all the troops, you will have all the resources you need to win in Iraq," Bush said at the Army base, where he was speaking to 17,000 paratroopers from the 82nd Airborne Division.
In recent months, Petraeus has helped to tame growing opposition to the war in Congress by providing measured assessments of progress and warning that an exodus of U.S. troops would result in chaos.
His unflappable style was on display again Thursday in a Senate Armed Services Committee hearing to confirm him for the Central Command post. The hearing was considerably less contentious than his past appearances on Capitol Hill and even came with an endorsement by the panel's chairman, Sen. Carl Levin, and Democratic presidential hopeful Hillary Rodham Clinton.
Also receiving a warm reception was Lt. Gen. Raymond Odierno, expected to replace Petraeus as the top commander in Iraq. Odierno previously served 15 months in Iraq as Petraeus' deputy.
"Regardless how long the administration may choose to remain engaged in the strife in that country, our troops are better off with the leadership these two distinguished soldiers provide," said Levin, D-Mich.
Clinton, D-N.Y., thanked the generals for their "incredible leadership."
Petraeus has previously been reluctant to say when his next assessment of troop levels might be. This spring he recommended - and Bush agreed - to withdraw by July the 30,000 extra troops sent to Iraq last year as part of a major security push to blunt increasing sectarian violence.
In testimony last month, Petraeus said he needed a 45-day period of evaluation and then an indefinite period of assessment before he would recommend any further pullouts, holding his ground against Democrats demanding to know whether more withdrawals were possible before Bush leaves office in January.
Levin said Petraeus' more recent pledge to review troop levels by September was "good news to most of us."
On a less-optimistic note, Petraeus said it is unlikely that Iraqi security forces will take the lead in all provinces this year, as was recently predicted by the Defense Department. Petraeus said events in the past month and a half - an allusion to the spike in violence in Basra - have pushed that goal to 2009.
Provincial elections also are likely to be delayed by one month this fall, taking place in November instead of October, he said.
Odierno told the committee he did not anticipate a need to boost troop levels, even temporarily, in advance of the elections.
"I will never say never, but my assessment now is, with the progress we're making, the progress we're seeing in the Iraqi security forces, and what I'm seeing is the security environment on the ground, currently I do not believe we will need an increase," Odierno said.
Petraeus would replace Navy Adm. William Fallon as the senior commander of troops in the Middle East, which includes such troubled hotspots as Iran, Pakistan, Lebanon, parts of Africa and Afghanistan.
If confirmed, he said, one of his first trips would be to Pakistan, where U.S. officials say al-Qaida fighters are regrouping along the Afghan border.
"I think that the key need is to assess whether the overall concept that is guiding (operations) on the Pakistani side in particular, or course, is adequate or not," Petraeus said.
Clinton said she was concerned that not enough attention was being paid to the terrorist threat there, Afghanistan and elsewhere in the world, including Africa.
"It has been the forgotten front lines in the war against terrorism. And we have allowed what was an initial success to, if not deteriorate, certainly stagnate," she said.
