Professor Devi Sridhar, an expert in public health who sits on the Scottish government’s Covid-19 advisory group, said the continuing decline in new cases of the disease was promising.
There were just nine new positive cases on Wednesday, and five on Thursday, according to the Scottish government.
And there were no confirmed deaths from Covid-19 in Scotland on Friday or Saturday.
Prof Sridhar told the BBC, that as long as cases stayed at a low level, and contact tracing was effective: "I think for me that's pretty much a Covid-free Scotland.
“At that point the risk to people's daily lives becomes negligible.
"I think Scotland is on track to eliminate coronavirus by the end of the summer by looking at the rate of the decrease.
"But we are going to see little bumps, so it's a question of how small can you keep those bumps."
She said the new challenge would be to stop new cases from entering the country.
"If Scotland was an island - like New Zealand - I would say going for zero cases would be completely feasible," she said.
But with hundreds of cases still be reported each day in England, the open border presents a reach challenge.
"Northern Ireland and the Republic of Ireland are trying to work together on a memorandum of understanding, or a plan [regarding their border]," said Prof Sridhar.
"Such a plan would be optimal, but that's for the politicians to work out."
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