Story Highlights• Iraqi national security adviser says Iran has changed tactics in Iraq
• Mowaffak al-Rubaie says Iran has stopped interfering, providing weapons
• He says Iran now telling its allies in Iraq to support Baghdad security plan
• Al-Rubaie is part of Shiite parliamentary bloc, closely linked to Iran
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BAGHDAD, Iraq (CNN) -- Iraq's national security adviser said Sunday Iran has stopped interfering in Iraq.
The comments by Mowaffak al-Rubaie contradict one of the top messages the Bush administration has been sending to the world in recent days.
"In the last few weeks, they have changed their position, and they stopped a lot of their tactics and a lot of intervention or interference in the Iraqi internal affairs," al-Rubaie told CNN's "Late Edition with Wolf Blitzer."
Asked whether he believes Iranians have stopped interfering and providing military resources or training to groups within the country, al-Rubaie responded, "That is absolutely right."
Al-Rubaie is a member of the Shiite parliamentary bloc, which has close ties to Iran.
President Bush has complained that Iran's Quds Force -- a paramilitary arm of Iran's Revolutionary Guards -- has helped orchestrate attacks on Iraqi and U.S. forces inside Iraq. Top administration officials have hammered that message in recent days.
Lt. Gen. Raymond Odierno, commander of the U.S.-led forces in Iraq, said Thursday, "The bottom line is that we believe that the Quds Force has been involved in training and possibly providing funding and potentially weapons to some groups within Iraq. So we watch that extremely carefully."
Vice President Dick Cheney, on a trip to Australia last week, was asked about Iran's interference in Iraq. "It's been a problem," he responded.
Cheney added, "We've made it clear we believe they have engaged in providing improvised explosive devices, for example, to insurgents inside Iraq that have been used against coalition forces. And of course, we've taken action recently to crack down on identifiable ... Iranian agents operating inside Iraq and made it clear that we think that their conduct there has been inappropriate."
Al-Rubaie said there is evidence that the Quds Force was supporting "some militia group, a Shia group in Iraq."
But he said, "They recently -- in the last few weeks, they have changed their position." They have "advised some of their allies in the Iraqi political arena to change their position and [start] supporting the government to give the Baghdad security plan a good chance of success. And I believe, I honestly believe, that they do not mind if the United States and the American Army and the Iraqi security forces succeed and prevail in Baghdad and defeat terrorism in Iraq."
Tehran has denied interfering in Iraq.
Al-Rubaie also urged patience with the Iraqi-led plan to secure Baghdad and said it could take months before there are "tangible" successes over the sectarian warfare in the Iraqi capital.
"We should not look at this Baghdad security plan in terms of days or even weeks," he said.
"Probably we will see a tangible success or measurable success by Easter time [early April]."
He said there had been a reduction in execution-style killings and roadside bombs that has boosted the confidence of Iraqi security forces. "It is sky-high," he said.
Also, Baghdad residents are more willing to show Iraqi forces "the hideouts and the whereabouts of the terrorists," al-Rubaie said.
Iraqi National Security Adviser Mowaffak al-Rubaie, in a file photo, says Iran has stopped interfering in Iraq.