Business leaders have put Prime Minister Scott Morrison on notice, calling for swift action on industrial relations to curtail union power just as an ACTU campaign seeking a radical expansion of workers' bargaining rights gathers steam.

Australian Industry Group chief executive Innes Willox has detailed a list of demands for new Industrial Relations Minister Kelly O'Dwyer, calling for stalled legislation to be fast-tracked through Parliament and for the minister to intervene in an impending High Court appeal over casual worker entitlements.

“A first priority for Minister O’Dwyer should be securing the passage of the three key workplace relations bills that are before Parliament," Mr Willox told Fairfax Media ahead of an expected meeting with Ms O'Dwyer.

New Industrial Relations Minister Kelly O'Dwyer. Credit:Alex Ellinghausen

He also called for Ms O'Dwyer to add her support to a decision by Australia's largest locally-owned labour hire firm to appeal a recent court ruling that granted annual leave entitlements to a casual truck driver working at a Rio Tinto mine.