Nicola Sturgeon fears there may be more cases linked to the Rangers title celebration in Glasgow.
The First Minister said more people could test positive over the next week given the incubation period of the virus.
Thousands of Gers supporters broke strict lockdown rules while they celebrated their team winning the Scottish Premiership title.
The Chief Medical Officer Gregor Smith announced yesterday that a "small number" of fans had contracted the deadly virus after heading to George Square and Ibrox.
Sturgeon was asked about the rise in cases after announcing some key lockdown restriction dates.
She said: "We have seen an increase in the last week.
"There have been a small number of cases where people were gathering as part of the football incident last weekend, we may see more of that given the incubation of the virus.
"I think we need to be really open eyed about this and after a year we've probably all learned this.
"This is a virus, so anytime we open up and people started to come together there is great opportunity for transmission. We have seen schools return, it's not such a worry transmission in schools as about the activity that goes around the return of schools."
Earlier today Jillian Evans, head of health intelligence at NHS Grampian, said there may be a further increase in cases across the Glasgow area in the coming weeks.
The health chief also encouraged those who have spent time with people who were at the celebrations to be "vigilant" and book a covid test as well.
She said: "I think the advice would be if you were in that situation or part of those crowds, get tested.
"That would be an important thing you could do to try to minimise any further harm.
"We may still see the result of transmission in the coming week.
"I know the numbers in Greater Glasgow and Clyde did go up last week but it may be too soon to say whether that was the result of crowding in that situation.
"It was outdoors, that was good but lots of people were shouting close-by so that's not good. It's not the behaviour we want to encourage at any point right now.
"The public health message from that would be, if you were around that or with people who were around it then being vigilant and being tested in community testing would be a good thing to do right now."
