People should be allowed to travel more than five miles for recreation from next Friday and visit family at home from July 15.
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.
ScotRail said free masks would be available for a 'limited period' as face coverings made mandatory from Monday.
The £46.7m funding pot will assist bus operators to ramp up services while maintaining social distancing.
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.
The FM said lifting restrictions too quickly risks a second wave which would be 'economically counterproductive'.
Nicola Sturgeon gave the go-ahead last week for a 'gradual' resumption of work in the sector.
Nicola Sturgeon says she is 'very hopeful' Scotland can move to phase two of its lockdown exit strategy.
The FM said the latest R number - the reproduction rate of coronavirus - would be published on Thursday.
The shift could see indoor meetings allowed between two households and the reopening of beer gardens.