Tyrrell entered the Senate in 2022 under the Jacqui Lambie Network banner. She became an independent in 2024, saying Lambie had indicated she was not happy about how Tyrrell was representing the party.
Tyrrell told the news conference: "I'm not going to apologise to anybody for joining Labor. It's a good fit. I have supported Labor very regularly over the last four years. But I've also pushed back when things for Tasmania [are] important, and I will still do that, but I will do it respectfully and calmly within caucus".
Mid last year, the Nationals approached Tyrrell (and other crossbenchers) about joining them after they lost their Senate party status at the election.
Tyrrell told the Conversation's Politics podcast at the time the approach was "a big compliment", although she declined the invitation
"The Nats represent rural and regional Australia beautifully, by speaking their voice and for them to see that I am representing the people of Tasmania in a good light - it was a huge compliment to be approached to join them. But I'd already been in a relationship and I'm quite happy being a single divorcee.