WASHINGTON (CNN) -- The Democratic-controlled Senate will begin considering a non-binding resolution next week opposing President Bush's new Iraq policy, Sen. Harry Reid, D-Nevada, announced Tuesday.

The resolution trumps an effort by Sen. Edward Kennedy, D-Massachusetts, to require President Bush to seek specific authorization before increasing troops in Iraq.

But Reid predicted the resolution with gain Republican support and will "do more to change the way in Iraq that any other thing that we can do."

"If there is a bipartisan resolution saying, 'we don't support the escalation of the war,' that the president's going to have to take note of that," Reid said. "I think that's the beginning of the end, as far as I'm concerned."

Reid said the resolution will be introduced next week but the full debate won't begin until at least the following week because the Senate will be debating an ethics reform bill.