The Nationals will seek an extra frontbench seat as Malcolm Turnbull reshuffles his ministry.
The prime minister says he wants to keep his cabinet and ministry largely intact following the July 2 election.
But he will need to fill vacancies caused by Wyatt Roy and Peter Hendy losing their lower house seats and possibly the tourism portfolio held by Richard Colbeck, who is in danger of losing his Tasmanian senate seat.
The Nationals are on track to move from 21 MPs and senators to 22, with the gaining of the seat of Murray.
That should entitle them to extra representation on the front bench.
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All 22 will gather in Canberra on Tuesday at 2pm AEST for the first post-election party room meeting.
This will include Ken O'Dowd and Michelle Landry, whose seats of Flynn and Capricornia are still in doubt, as well as four new members: Llew O'Brien (Wide Bay), David Littleproud (Maranoa), Andrew Gee (Calare) and Damian Drum (Murray).
Government minister Josh Frydenberg said it would be up to Mr Turnbull and Nationals leader Barnaby Joyce to decide on how to respond to the extra representation in the Nationals party room.
Nationals frontbencher Darren Chester singled out Senator Bridget McKenzie as worthy of promotion.
"Bridget McKenzie ... (is) someone who's done very well in the Senate and has been a strong campaigner on education issues," Mr Chester said.
Minister for Northern Australia Matt Canavan has also been tipped for a promotion.
Senator Canavan compared it to a game of football.
"You've got to let your performance on the field, so to speak, talk for you," he told ABC radio.
The coalition agreement between the Nationals and Liberals will also have to be renegotiated before parliament sits.
