Under the Workplaces (Protection from Protesters) Amendment Bill 2019 protesters will face 18 months' jail for a first offence and 4 years' jail for a second offence.

Debate on the bill continued past 2am on Wednesday night with many members from the government, Labor and the Greens, speaking on the legislation.

Clark independent MHA Madeleine Ogilvie did not speak on the legislation during the debate but said she would be voting with the government in favour of the bill meaning it will pass even if Speaker Sue Hickey votes against it.

It is opposed by both Labor and the Greens.

"I'm obviously a strong supporter of freedom of speech and the right to protest, but I do think its really important that people are free to go about their business and to feel safe on their farms or at their work," Ms Ogilvie said.

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"For me this is getting the balance right between those competing rights.

"The answer to this is somewhere in the centre and to get there the legislation needs to go to the upper house."

Ms Ogilvie said she had been working behind the scenes with Primary Industries Minister Guy Barnett seeking amendments to the bill which would improve protection for union action.

"I have his assurance that those amendments will be considered in the Legislative Council," she said.

"The amendments I have in mind will help the union movement feel secure that, what they have always been able to do, they will always be able to do."

After also voting with the government on mandatory minimum sentencing laws this week, Ms Ogilvie said she was voting as an independent.

"I've put a lot of thought into my decision-making framework for when it may be a casting vote," she said.

"I will try to act in the interest of all Tasmanians first, then my electorate, then my personal views."

On Thursday, Greens leader Cassy O'Connor tabled a new bill which seeks to repeal the legislation.

A parliamentary e-petition against the bill has garnered more than 2800 signatures.