Significantly, Labor Leader Rebecca White has overtaken Jeremy Rockliff as the preferred premier among voters, with 40 per cent support against Mr Rockliff's 38 per cent.

The previous result in February put Ms White's support at 36 per cent against Mr Rockliff's 44 per cent.

Labor's deputy leader Anita Dow said the poll result for Ms White reflected her good leadership of the party.

"We're a strong united team, out working hard across our communities, listening to Tasmanians," she said.

"The polling today confirms that."

Government minister Guy Barnett said he would not comment on the poll results, but said the government had a firm agenda.

"We're getting on with the job to build the economy and invest in essential services, like health and housing," he said.

The poll of 1000 Tasmanians was conducted between May 15 and 19 and showed support for Labor rose by one percentage point and the Greens by two percentage points since the last count in February.

EMRS managing director Paul Jamrozik said the poll results showed the first significant fall in support for the Liberal government in over a year.

"After a long period of our polling results remaining steady, this is the first time since December 2021 where voter support for the Liberal Government has shown a decisive fall," Mr Jamrozik said.

"However, this has not translated into notable rises in support levels for the other main parties," he said.

The survey results showed the government's lead in voter support over the Labor opposition had narrowed significantly from 12 percentage points in February to just 5 points.

The data also showed that support for independents or other minor parties rose from 15 per cent in February to 18 per cent in the latest survey.

EMRS' Mr Jamrozik said his company conducted the May poll shortly after two members of the State Government had resigned to stand as independents in protest over its stance on the new Hobart AFL stadium, forcing the government into a minority.

"Our polling indicates that the proposed AFL stadium is currently a key issue of concern for Tasmanians and that the political ramifications of this will continue to be played out over the coming months," he said.

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