It comes after public sector unions on Friday publicly pushed for the government to bring the meeting forward, due to a warning from Premier Will Hodgman that workers wouldn't receive back pay if an agreement wasn't reached by the end of the financial year.

Unions have expressed concern that holding the meeting so late in June will make it difficult for the issue to be resolved by the government-imposed deadline. They were originally seeking a 3 per cent pay rise but have since scaled that back to 2.5 per cent, while the government has upped its offer from 2 per cent to 2.1 per cent.

A government spokesperson did not address the prospect of bringing the meeting forward, instead saying the government welcomed "the newfound enthusiasm of union leaders to negotiate a deal to ensure Tasmania's hard-working public servants get the pay rise they deserve".

"In the 113 formal wage negotiation meetings to date union leaders have been hellbent on [engaging in] distractions, delays and stunts," the spokesperson said.

"If union leaders are serious about the interests of their members they should cease current industrial action and threats, and show up to the meeting this week ready to actually negotiate."

United Voice Tasmanian secretary Jannette Armstrong said she'd spoken to Mr Hodgman's chief of staff Tim Baker on the phone on Thursday afternoon, expressing a desire for the meeting to be held sooner.

"He said Community Cabinet meetings on Flinders Island on Monday and Tuesday would mean the meeting couldn't be held earlier than June 27," she said. "We're in the process of talking to members about what to do."

"There is concern and confusion now [among members], to be quite honest.

"We would love to walk away on Thursday with some ink on paper but our members need more information first."