The government has previously indicated it would not support a joint parliamentary inquiry to review the May elections, and on Wednesday did not defend the decision to hold same day elections, nor would it be drawn on the matter of an inquiry.

Independent MLC Meg Webb and others, including acting Greens leader Rosalie Woodruff, are calling on the government to support the inquiry.

"While we can't be certain any result would have changed, the Commission's report confirms that thousands of Tasmanians were denied their democratic right to vote," Dr Woodruff said.

"The Gutwein Government called the snap election, and created the issue. We urge them to do the right thing ... If the Liberals fail to support the Legislative Council's move for an inquiry, it will raise further questions about the integrity of their conduct."

A government spokesman said the TEC found that holding the elections on the same day did not impact the result.

"We respect the decision of Tasmanian voters.

"The Tasmanian Electoral Commission and the Electoral Commissioner already have statutory responsibilities for the independent and impartial conduct of elections and referendums under the Electoral Act 2004.

"As there is already an impartial framework in place for conducting, administering and reviewing elections within Tasmania, the establishment of a Parliamentary Committee to inquire and report on the same thing would be duplication, and a waste of public resources."