One Nation founder Pauline Hanson has urged Senator Rod Culleton to make an "informed decision about his future", as he faces the prospect of a High Court challenge over his election.

The Senate President will ask the Upper House on Monday to call for a High Court challenge, claiming a larceny conviction against Senator Culleton when he was elected could make him ineligible to have been a candidate.

In a statement, Senator Hanson said advice from the Clerk of the Senate indicates that "until a Senator is declared to be not a Senator, then Section 23 of the constitution provides for each Senator to have one vote".

"This is not an easy time for Senator Culleton and his family and I have encouraged him to make an informed decision on his future," she said.

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Senator Hanson noted there were several options available to the West Australian Senator.

"From previous cases similar to Senator Culleton, it appears Rod has a few options available to him, including a leave of absence (Senator Webster 1975) or he may stay on and vote in divisions (Senator Wood 1988)," she said.

The One Nation Party would meet on Monday morning, Senator Hanson said, to consider business that will appear before Parliament in the final three sitting weeks of the year.

The Senate will also meet on Monday to discuss the prospect of a High Court challenge.

Senator Culleton says he is eligible to sit in Parliament because his conviction was annulled after he was elected.

A spokesperson for Senator Culleton also rejected claims he sought a guarantee from the Government that he could continue to vote in the Senate.

Attorney-General George Brandis said Senator Culleton sent an email saying he would not vote on any contentious legislation while that was underway.

But a statement from Senator Culleton's office said he would only make a decision after seeking further advice.