Attorney-General Elise Archer announced on Sunday that the election would be delayed from May 30 - itself a delayed date - but could still be held before August 25.

Independent candidate David Fry made his displeasure known in a statement on Monday morning, instead reiterating his call for a postal vote to be held.

COVID-19: The latest updates for Tasmania

Mr Fry said the continued delays could set a precedent.

"Today's announcement of another deferral of the election could be a dangerous precedent which may herald an alarming escalation of government interference in the daily lives of ordinary Tasmanians," he said.

"Whilst we all understand that there needs to be a degree of control by the government in order to slow the spread of COVID-19, what is to stop them eventually declaring all elections cancelled and allowing them to effectively run a dictatorship?"

Other candidates - including independent Vivienne Gale - were supportive of the move.

She said calling for a postal vote indicated a lack of knowledge of the legislation, casting doubt on the ability to operate effectively as a member of the Legislative Council.

"The Premier said that under the emergency COVID-19 rules - in which the Public Health Act overrides the Electoral Act - it means that if public health says that it's unsafe to have a walk-up ballot, then we can defer. That's the process," Ms Gale said.

"I think it's a brilliant outcome. Because my husband has been so vulnerable at this time, I haven't been able to get out for a month, so I haven't been able to get signs up, and my ability to campaign has been completely disadvantaged."

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She said there were no indications that the health emergency would have completely eased by August, particularly if the extent of community transmission in Tasmania remained unknown.

Labor and the Greens had both been calling for the Rosevears and Huon elections to be delayed, and both welcomed the outcome.

The Greens maintained their concern that the state government could be making decisions without Parliamentary oversight, and a solution needed to be found to ensure Parliament could meet electronically.

Independent candidate Janie Finlay said she would continue to engage with voters online - and she also supported a postal ballot.

"This deferral allows electors time to adjust to this current way of living and takes away the stress of having to vote so soon," she said.

"It will also give everyone more time to be informed about who they think is best suited to represent them."

Liberal candidate Jo Palmer said the decision was about ensuring the health and safety of the community.