Crossbench senator Jacqui Lambie says she is willing to reconsider her support for the Morrison government's union-busting laws if they include measures to remove controversial construction union boss John Setka.

Industrial Relations Minister Christian Porter vowed on Friday to reintroduce the Ensuring Integrity Bill in the House of Representatives this week, but it will not go to a vote until next year. The bill would make it easier to deregister law-breaking unions and disqualify officials.

Senator Jacqui Lambie says she is willing to reconsider her support for the Morrison government's union-busting bill. Credit:Alex Ellinghausen

Senator Lambie slammed the government for its lack of consultation on the bill, which was sunk when she and One Nation senators Pauline Hanson and Malcolm Roberts voted against along with Labor and the Greens on Thursday.

The Tasmanian independent says she voted down the bill because it would hurt ordinary union members but had previously said she would support the laws if Mr Setka - the boss of the Construction, Forestry, Maritime, Mining and Energy Union Victorian division - did not resign his post.