The House approved the measure last week, 357 to 48.
The measure was approved, 30 to 10, among those present to hear the issue.
The measure approved by the committee today must now go to the full Senate.
The Senate approved the measure last week, 72 to 23.
The House approved the measure on a vote of 400 to 14.
The vote, 95 to 0, came five days after the House approved the measure, 371 to 1.
About an hour later the Senate approved the measure, 67 to 2.
Government officials said they expected the Administration to approve the measure.
In any case, the court said, only Congress can approve such measures.
The measure could be approved by the end of the month, she added.