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The Senate is also considering a bill sponsored by Sen. Ken Salazar, Colorado Democrat, that would declare the Iraq Study Group’s recommendations as nonbinding national goals.

Sen. Lamar Alexander, Tennessee Republican and a co-sponsor of the proposal, said the bill would offer a united message to American soldiers still fighting in Iraq while also not circumventing Mr. Bush’s authority as commander in chief.

“The president has every right to wait until September, October, November to develop his strategy,” Mr. Alexander told CBS“Face the Nation.” But “I can’t see today why he doesn’t borrow the prestige of the Democrats and the Republicans and write a plan based on these recommendations, which I think he would be comfortable with.”