In a telephone conversation with Annan, US President George W. Bush told the UN chief his speech on UN reforms "had some constructive ideas" and that he looked forward to working with Annan on it, said White House spokesman Scott McCellan.
But earlier, the US cast doubt on a council resolution that would set rules for authorizing military force.
"Frankly, we're sceptical that any kind of resolution on the use of force would be helpful," said deputy state department spokesman Adam Ereli.
Algeria, currently the lone Arab member of the Security Council, said Annan's language on terrorism needed more consideration.
Algeria's UN ambassador Abdallah Baali said it needed to be made clear "that terrorism and the right to resist foreign occupation should not be confused."
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