The government made the threat after Celtic defender Boli Bolingoli travelled to Spain and then failed to quarantine - something his club only discovered after he played in their draw at Kilmarnock on Sunday.
It transpired the two that tested positive were part of a group of eight players that visited a bar after Aberdeen's opening-day defeat against Rangers. All eight had to self-isolate and later apologised.
Gerrard - who was part of a meeting with Scottish government