Premier Sandy Silver and chief medical health officer Dr. Brendan Hanley say after that date, travellers between the province and territory will no longer be required to self-isolate for 14 days.
Yukon has been gradually easing pandemic restrictions since May 15 with dine-in restaurants, day cares and recreational centres reopening.
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Territorial parks and campgrounds will open for the summer next week.
The government says in a news release it will be guided on what restrictions are necessary by risk assessments, including the amount of health space available and whether it can quickly test and contact trace for COVID-19.
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2:39Coronavirus outbreak: Yukon premier announces reopening plan for territory
Coronavirus outbreak: Yukon premier announces reopening plan for territory
Other new guidelines put in place Friday outline how to travel responsibly within Yukon and how to respect the wishes of communities and First Nations.