But legislation authorizing the war against ISIS has failed to gain momentum in Congress.
The Massachusetts Democrat said refugees shouldn't be denied because of their religion.
"There are no words strong enough to condemn these terrorists and their radical ideology," Rep. Royce said.
"We’re going to look at it," the third-ranking Senate Democrat said.
Lawmakers hope to send a final version to Obama's desk by the end of the year.
The administration's plan to accept extra Syrian refugees is coming under vocal criticism from Republicans.
"ISIS could not have written a better script," said Rep. Luis Gutiérrez (D-Ill.).
The Maryland Democrat will receive the nation's highest civilian honor.
The House will formally vote to go to conference.
Highway funding runs out Friday.