Governor-General Quentin Bryce has been told there would be no conflict of interest if she is called on to decide the outcome of the federal election.

The Governor-General sought legal advice on whether the fact that her son-in-law, Bill Shorten, is a Labor MP could disqualify her from deciding which party should be able to form a minority government.

But federal Solicitor-General Stephen Gageler says there is no legal reason for Ms Bryce to disqualify herself.

"There has been a number of governors-general who have had significant political careers, and a number of governors-general who have had continuing personal relationships with senators and members of the House of Representatives," he wrote in a letter to Ms Bryce.

"Where they exist, connections and relationships of that kind must be recognised as realities.

"They fall to be managed as a matter of prudence, not of legal obligation or legal impediment."

Ms Bryce may be required to use her constitutional powers to help sort out the election result.

Ms Bryce's daughter Chloe married Mr Shorten last November and they have a daughter, Clementine.