Salwai and Luganville MP, Matai Seremaiah, are facing charges of corruption and bribery in a trial due to be heard by the Supreme Court later this month.
The motion, put forward by Government Whip Kenneth Natapei, claimed the charges against the pair brought into question the integrity of parliament.
Salwai is also facing a perjury charge.
However this morning, Speaker Gratien Shedrack dismissed the move, saying the two MPs had not yet been proven guilty by a Vanuatu court and at this stage they were innocent.
