"Our plan is working," Premier Peter Gutwein said on Saturday, but urged caution on the public calling for easing restrictions.
Mr Gutwein said that regardless of decisions made on the mainland, the state must keep in mind that it was more at risk from the coronavirus.
"We went into this early; we went into this hard," he said.
"We did that because we have the benefit of an island state, but also because we have a older and more vulnerable population."
To date, Tasmania has the highest number of coronavirus deaths relative to population in the country, and the highest number of active cases relative to population.
Tasmania will be guided by a plan to "glide" slowly out of the restrictions, rather than risking a "sawtooth" pattern of new outbreaks followed by a repeat of restrictions.
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Mr Gutwein will consider opening state borders if international borders remain closed, but said "no Tasmanian" would want unlimited interstate movement if there were still active cases on the mainland.
The first restriction likely to be lifted is to allow people into green spaces such as parks and reserves.
Regarding the economy, he said Tasmania's path may prove to be more cautious than some.
"As we come out of this, I will make no apologies for having a glide path, rather than the more aggressive steps that other states may be taking," he said. "We will open our economy in a sensible way."
"When you look around the world - at what's happened in the United Kingdom, what's happened in France, what's happened in Italy, what's happening now in the United States - we are in so much better a position to what they are because we've acted as a country and as a state to take the necessary steps.
"We don't want to lift restrictions and then find in a couple of months that we need to put them back on, as has happened in Singapore.
"We need to understand that we are still in the midst of this pandemic. The virus is still within our shores. We need to be vigilant, we need to follow the rules. This virus is highly contagious, and importantly - and sadly - it kills."
However, he said it was "good to see other states catching up to where we are" regarding allowing golf and recreational fishing.
He also repeated calls for Tasmanians to download the COVIDSafe government app onto their phones, which tracks your movements and is used to determine if you have been in contact with a coronavirus case.