PUP spat to dominate parliament return

The internal row in the Palmer United Party is set to divert attention from some big legislation debates in federal parliament this week.

Parliament is set to debate counter-terrorism legislation, university funding reform, visa crackdowns and the Japan free trade agreement.

But outspoken Senator Jacquie Lambie and her future in the Palmer United Party are likely to dominate.

A war of words between Senator Lambie and party leader Clive Palmer has dragged on for weeks, with the outspoken former soldier expected to announce she is quitting the party within days.

After a fashion makeover and weekend of soul searching in a Tasmanian log cabin Senator Lambie is still yet to decide on her political future.

Her chief of staff Rob Messenger told AAP any decision about Senator Lambie's future would be made after a meeting with her family friend, Tasmanian barrister Glynn Williams late on Monday.