A move by a crossbench conservative in the Senate to revive the government's promised amendment to the Racial Discrimination Act is set to strike out the words "offend" and "insult".

The vote, which has the potential to create an embarrassing split in government ranks, is likely to take place later this month following the introduction of the legislation by Family First Senator Bob Day.

At least three government senators have told Fairfax Media they could vote for the legislation which cabinet last week decided was no longer party policy.

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