The governing body has confirmed it will continue to do whatever possible to support all clubs, though income streams are "badly affected" with no games staged at Murrayfield as the season remains suspended.
Scotland may also be unable to complete tours to South Africa and New Zealand in July, while there are even concerns over their home internationals scheduled for November, when they are due to play against Argentina, Japan and the All Blacks.
Fearing a potential loss of expected revenue in excess of £12million, chief executive Mark Dodson has agreed to take a 30 per cent pay cut until at least the start of September, while head coach Gregor Townsend agreed to a 25 per cent decrease last month.
A proportion of Scottish Rugby's staff will be placed into the government's furlough scheme, while players will be consulted over the possibility of reducing their wages as the organisation tries to cut costs amid the global health crisis.
"Our players and our coaches cannot fulfil any fixtures and the money we normally expect to make from the professional and international game at this time of the year, and over the summer, has all but disappeared due to the challenges beyond our control," Dodson said in a statement.
"No one knows with any certainty when any rugby can resume.
"We have seen many, many examples of our staff, clubs and players across the country supporting their local communities and demonstrating rugby's values in daily life.
"Rugby makes a positive contribution to society and it is this positivity and our whole sport working collectively that will give us the best opportunity to come through this crisis, safely, together."