Speculation is mounting that the new Labor leadership team could involve the return of Rebecca White as the party leader with Shane Broad as her deputy.
It has been suggested this team would strongly send a message of unity, but would cast aside Anita Dow as deputy leader.
Ms Dow was elected unopposed as deputy leader in May but was quiet on Monday when asked whether she would nominate for leader or deputy leader.
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Dr Broad when contacted did not wish to comment on whether he would seek the leadership or if there were discussions between him and another member for him to nominate for deputy leader.
Ms White, who is on parental leave having just given birth to her second child, could not be reached.
Labor's Michelle O'Byrne refused to comment on the leadership when she was approached by media at a NAIDOC event in Launceston on Monday.
It is believed she is not interested in nominating for the leadership at Wednesday's Parliamentary Labor Party meeting, however.
Former Labor leader David O'Byrne resigned from his position on Sunday less than three weeks since he was elected to the role over Dr Broad in a ballot of party members and union delegates.
An internal complaint against him alleging sexual harassment when he was a union head was leaked to the media last week.
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He admitted to the harassment hours after the story broke and said he believed text messages of a sexual nature sent to a female junior employee and two kisses had been consensual.
In a statement, Ms Dow said she would not comment on the sexual harassment complaint against Mr O'Byrne out of respect for the privacy of the complaint and confidentiality requirements around the party's investigation.
"The Tasmanian Labor Party has a proud history of supporting women within our party, within the Parliament and our community at large," she said.
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"I and my colleagues remain committed to continuing this important work.
"I would like to put on the record the party's support for the complainant and acknowledge her bravery in coming forward.
"It is critical that all women feel empowered and supported to speak up."
Labor's Jen Butler last month expressed disappointment in having been removed from the police, fire and emergency management portfolios following Mr O'Byrne's election to the party's leadership.
Over the weekend, an email from her to colleagues in which criticised Labor's handling of the allegations against Mr O'Byrne when they were made public was leaked.
"The silence from Labor, especially Labor women is deafening," Ms Butler wrote in the email.
Ms Butler on Monday said she would happily take back the portfolios she had removed from her so long as she was able to give adequate time towards constituency work.
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