Osborne became Newfoundland and Labrador's new finance minister Monday following the unexpected resignation of Cathy Bennett, who will continue to serve as an MHA.
Parsons told The Compass Tuesday that colleagues from the Liberal party both federally and provincially encouraged her to consider becoming the next speaker, as have House of Assembly colleagues from outside her own party.
"I have not made a decision," she said. "Out of respect, I want to have a conversation with the premier and Perry Trimper."
Trimper was a member of Premier Dwight Ball's cabinet prior to Monday, when his portfolios were shifted to other ministers as part of a shuffle to address Bennett's resignation. Ball told reporters Monday he wouldn't mind seeing Trimper become the next speaker in the House.
Parsons said she was not aware of any changes happening in cabinet prior to Monday morning's announcement of Bennett's decision to resign.
Prior to her election in 2015, Parsons worked for a decade as a journalist for NTV, CBC and Rogers. She has a degree in political science and a diploma in broadcast journalism. In the province's history, there has never been a female speaker of the House. Given her background, Parsons said she would feel confident handling the role.
"I'm not ruling it out," Parsons said.