Voters 'not convinced' on new Labor opposition leader

Australia's only Labor opposition leader isn't as popular as his predecessor, according to latest opinion polling.

Dean Winter replaced Rebecca White as leader of Tasmanian Labor after the party's March 23 state election loss, its fourth in a row.

Polling of 1000 voters taken in May showed 32 per cent supported Mr Winter as preferred premier, a six per cent drop from Ms White's position in February.

Ms White, who remains in parliament, stepped down as leader after taking Labor to three election losses.

The Liberals were returned to power in minority with the support of crossbench members and independents after Labor conceded they couldn't form government.

Mr Winter sits eight per cent behind Premier Jeremy Rockliff who dropped one per cent to 40 per cent as preferred leader, with 26 per cent of people opting for unsure/neither.

"Dean Winter has not been long in the role as opposition leader, however, these results on preferred premier indicate voters are yet to be convinced," EMRS managing director Paul Jamrozik said.

"At the same time, Jeremy Rockliff needs to reinforce to voters why he is the preferred premier during his honeymoon period."

Support for Liberals dropped two per cent from the election result to 35 per cent while Labor fell one per cent to 28 per cent.

Mr Winter has admitted Labor, which recently changed its position to support a new Hobart stadium, needs to deliver its message more clearly.

The Greens maintained support at 15 per cent, independents got a four per cent boost to 12 per cent while the Jacqui Lambie Network was steady at seven per cent.

Tasmanian's lower house includes 14 Liberals, 10 Labor MPs, five Greens, three independents and three first-term Jacqui Lambie Network members.

EMRS said the latest polling showed health and cost-of-living continued to be major concerns, with health a particular issue among Labor voters.