SPFL boss Neil Doncaster has said it's only a "matter of time" before we see coronavirus cases among players given the nature of the outbreak.
It was announced earlier on Friday that the weekend's Scottish football fixtures had been suspended until further notice.
However, should there be an outbreak among players further matches will likely be suspended too.
Hearts' trip to Livingston and Hibs' home match with St Johnstone are among those to have been called off.
And Neil Doncaster, SPFL chief executive, said: “As everyone knows, this is a fast-moving and unprecedented situation for the entire country.
“We have been in intensive and detailed discussions since last night and have also been taking on board the experience of our counterparts in England and across Europe. As a result, the board of the SPFL has agreed this morning that all league fixtures this weekend and next midweek will be postponed until further notice.
“The health and safety of fans, players and officials is absolutely paramount. We have not yet had any confirmed cases of Coronavirus amongst players in Scotland, but, given the nature of this outbreak, it seems only a matter of time.
“We realise that many people will be bitterly disappointed, and we would obviously prefer to be in a position where we can continue as normal, but that’s neither realistic nor possible.”
Ian Maxwell, SFA chief executive, said that the decision to call off matches is in the interest of public health, but also for the welfare of everyone involved in the Scottish game.
He said: “Since the guidance outlined by governments last night we have been engaged in extensive dialogue to clarify the position and implications of that guidance for Scottish football.
“Today’s announcement is made in the interests of public health but, equally, the health and safety of players, match officials, and staff across the game. This is of paramount importance as the country enters the ‘delay’ phase of the coronavirus pandemic.
“It is also why the Scottish FA is compelled to ensure that the suspension is cascaded through the non-professional and grassroots games until further notice.”
