The Palmer United Party (PUP) is considering taking High Court action against Glenn Lazarus after the Senator quit its ranks.

Senator Lazarus resigned last week after his wife Tess Lazarus was fired by the PUP headquarters.

Senator Lazarus said he had a different view of team work to Mr Palmer, who accused him of "spitting the dummy".

PUP's Senate numbers have dwindled from a bloc of four to one, and national director Peter Burke said it would consider High Court action to recover Senator Lazarus's seat.

"Clearly, voters put the Palmer United Party before Mr Lazarus, and we do not believe he holds the seat on his own merits," Mr Burke said in a statement on Monday.

"Australians have had enough of politicians saying one thing before an election and then acting differently once voted in. We believe he has misled the party."

PUP received more than 250,000 votes above the line in the last Federal Senate election and only 6,770 votes went below the line to Senator Lazarus, Mr Burke said.

Mr Burke said discussions were underway with the Democratic Labour Party, which is pursuing Senator John Madigan in the High Court following his resignation last year.

Suggestion 'stretches bounds of plausibility'

Constitutional law expert George Williams said the argument had little or no prospect of success.

The argument relies on section 15 of the Constitution, which said that when a senator vacates their seat, the state parliament must appoint a replacement from the party that had endorsed the senator at the time of his or her election.

Professor Williams said the section only applied if the place of a senator become vacant before the expiration of his or her term of service.

"This occurs if a senator dies or resigns their place in the Senate," he said.

"It stretches the bounds of plausibility to suggest that their seat becomes 'vacant' if they merely resign their party membership."

He said the law provided no remedy to a political party when one of its senators resigned.

ABC/AAP