Thursday's vote on the draft is unexpected, coming a week after Islamist President Mohammed Morsi extended by two months, until February, the work of the 100-member panel to allow it time to iron out differences.
It also comes ahead of a Sunday court ruling on the legitimacy of the panel. Fast tracking the process is thought to be designed to pre-empt a possible ruling to dissolve the panel.
Liberal members of the panel have withdrawn to protest what they say is the hijacking of the process by Islamists loyal to Morsi.
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