Immigration Minister Peter Dutton says the Turnbull government "won't be bullied" by chief executives who have campaigned in favour of same-sex marriage, lashing the country's business leaders for a third day in a row.

Mr Dutton also ramped up his response to the social media campaign against Coopers brewery, claiming some companies were being "extorted" and "blackmailed" into backing marriage equality.

In his most aggressive statements on the issue yet, he said chief executives such as Alan Joyce at Qantas should "stick to their knitting" rather than using the company's brand to advocate for political causes.

"It is unacceptable that people would use companies and shareholders money of publicly listed companies to throw their weight around," Mr Dutton said on Saturday.