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Congress may have to vote on President Obama's ISIS strategy after all – or at least a part of it.

The president told congressional leaders in a meeting on Tuesday that, according to the White House, "he has the authority he needs" to take on the Islamic State of Iraq and Syria. That means he won't a seek a formal authorization of force from Congress when he addresses the nation on his strategy to defeat ISIS on Wednesday night.

But Obama is now personally lobbying lawmakers to include language in a government funding bill that would allow the military to train and equip Syrian rebels who are fighting ISIS.

A senior administration official confirmed to The Wire on Wednesday that the president was calling members of Congress to secure their support and had dispatched his chief counter-terrorism adviser, Lisa Monaco, to Capitol Hill to brief them in person.

While Senate Democrats are drafting legislation in accordance with the president's request, House Republicans did not add it to the stopgap spending bill they unveiled on Tuesday night because it came at the last minute.

But under pressure from the White House, Republicans are giving the authorization a second look. Majority Leader Kevin McCarthy (R-Calif.) announced on House floor Wednesday afternoon that he was postponing a vote on the spending bill scheduled for Thursday so lawmakers could consider Obama's push for approval to arm the Syrian rebels.