President Obama told CNN on Tuesday that it would be "possible" to avert military action if the proposal was "real." He called the offer "a positive development" and said his administration was in the process of evaluating its feasibility.
The president himself is set to travel to Capitol Hill to meet separately with Senate Republicans and Democrats later Tuesday. He also plans to address the nation Tuesday night from the White House.
Green said lawmakers were "going to wait and see how this offering" plays out but that the proposal from Syria represented a diplomatic solution. He also predicted Congress would now "go back to our typical things, like the debt limit."