Tasmania's border will open to New South Wales on Friday, November 6.
Pending no major coronavirus outbreaks there, arrivals from NSW won't have to quarantine from that date.
It'll join WA, South Australia, Queensland, the NT, ACT and New Zealand in being classified as a "low-risk" jurisdiction.
The first travellers from those safe zones began flowing in on Monday, but not before questioning and health screenings by Biosecurity Tasmania staff.
Premier Peter Gutwein says reopening to Victoria remains "on track" for December 1, as it emerges from marathon lockdown with two consecutive days of no new infections.