The Tasmanian Government has sought advice on whether there are any implications for paramedics who wrote anti-Government slogans on ambulances.

Almost all of Tasmania's ambulances — about 45 in total — have been covered in white writing with slogans criticising the Health Minister Michael Ferguson, such as: "We have no confidence in Minister Ferguson."

Premier Will Hodgman said there was no move to seek criminal charges but he was awaiting answers from the solicitor-general.

"Just to understand the implications of such conduct, I think most Tasmanians would appreciate that it's a pretty dramatic course of action to deface ambulances," he said.

Mr Hodgman refused to confirm whether or not the advice was sought in order to find an avenue for punishment, saying he was just seeking clarification.

"We want to understand what the implications might be for any individual who deliberately defaces public property like an ambulance, but I want to make it very clear we are not calling on the police to take action against these individuals," he said.

The Health and Community Services Union and the Department of Health and Human Services have been in engaged in a long-running pay dispute this year.

The union rejected a pay offer of 6 per cent over the next three years after it claimed the Government had agreed to a higher pay rate.

But the Government claimed no deal had been struck.

Hodgman's move 'bizarre': union

Robbie Moore from the Health and Community Services Union (HACSU) labelled the Premier's move "bizarre".

"Workers are taking the action simply because he reneged on a deal that was done in February," he said.

"So to be attacking the workers, who are simply fighting for what was a genuinely fair, negotiated outcome, and now to be attacking them, is bizarre."

Mr Moore said he understood the paramedics' actions were legal under the act that governs state public service industrial relations disputes.

"It is very difficult for paramedics and communications workers to take the same sort of industrial action that other workers might, simply because of the nature of their work and the role that they play for the community," he said.

"So we think this action is more than appropriate, more than fair, given that the Government has reneged on what was a deal."

Acting Opposition Leader Michelle O'Byrne said Mr Hodgman's move was "disgraceful" and that paramedics were right to feel aggrieved.

"Just three days after the federal election result saw the Liberals annihilated in this state, Mr Hodgman and Mr Ferguson still haven't learned that Tasmanians are angry at their attacks on the health system and angry at their brutal and blatant attacks on workers," she said.

Ms O'Byrne said Mr Hodgman was trying to "bully paramedics into silence".

"If he doesn't intend to start having ambulance staff charged then why seek the advice of the Solicitor-General in the first place?"