An internal review of Forestry Tasmania was handed to Mr Harriss earlier this month, with speculation mounting that the company could be folded into a government department.

Mr Harriss has been tight-lipped about the review, but said he would begin briefing industry stakeholders on Tuesday, before announcing the government's response in a ministerial statement on Wednesday.

"The government took to the election a commitment to put Forestry Tasmania onto a sustainable footing into the future, and we intend to deliver," he said.

Forestry Tasmania is likely to be the subject of a great deal of debate this week, with the Greens to call for a independent commission of inquiry into the business.

"We have no faith that this government's internal departmental review of Forestry Tasmania will not just result in a superficial change while business as usual continues on the ground," Greens leader Kim Booth said.

"The uncertainty must end once and for all, for current Forestry Tasmania workers, and for the Tasmanian taxpayer."

Opposition Leader Bryan Green said it would be a failure if Forestry Tasmania became part of a government department.

"Forestry Tasmania needs to be there working commercially around our forests that are available for harvest," he said.

Meanwhile, the government's gun laws are likely to pass the Legislative Council this week, but with several major amendments.

In a marathon sitting last week, controversial mandatory sentencing provisions were removed from the bill, while the minimum supervised shooting age was lowered to 14.

Debate is also likely to begin on the government's moves to bring in a single code of conduct for local councils.