"While there are travel exemptions in place for elite sports which are designed to facilitate international and European competition, if we feel they are being abused, we won't hesitate to remove this privilege."
Deputy First Minister John Swinney also commented on Celtic's trip to Dubai as he admitted it wasn't a "particularly great example to set".
Speaking to John Beattie on BBC Radio Scotland, he said: "They will be allowed back in but they'll have to follow all rules in the process.
"Frankly, I don't think it's a good idea to be doing that at this stage. I don't think it's a good idea.
"I don't think it's a particularly great example to set to people when we're asking members of the public to take on very significant restrictions on the way in which they live their lives.
"I think we've all got to demonstrate leadership on this particular question."
However, Celtic have insisted they made authorities, including the Scottish Government, aware of their plans to travel to Dubai in November last year.
A statement read: "The training camp was arranged a number of months ago and approved by all relevant footballing authorities and the Scottish Government through the Joint Response Group on 12th November 2020.
"The team travelled prior to any new lockdown being in place, to a location exempt from travel restrictions.
"The camp, the same one as we have undertaken for a number of years has been fully risk assessed.
"If the club had not received Scottish Government approval then we would not have travelled."
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