Nicola Sturgeon said there are 161 new cases of coronavirus in Scotland, 1.9% of newly-tested people.
Nicola Sturgeon's warning came ahead of the review of Covid-19 restrictions later this week.
Indoor leisure resumes after more than five months closed amid the coronavirus pandemic.
The First Minister said the reopening of pubs, restaurants and hairdressers were the 'highest-risk changes' so far.
People should be allowed to travel more than five miles for recreation from next Friday and visit family at home from July 15.
Nicola Sturgeon set out a range of 'indicative dates' for when she plans to lift certain lockdown restrictions.
Provisional dates could be given for the reopening of beer gardens and hairdressers.
Nicola Sturgeon has asked her scientific advisory group to explore the issue ahead of a July 2 review.
You will be able to visit up to two households outdoors but not indoors, unless you count as an 'extended' household.
The First Minister will update the country on Scotland's lockdown measures on Thursday.