Earlier in the day, the British parliament started discussions of a petition signed by more than four million people, who demanded a new referendum on London's membership of the 28-nation bloc.
"One of my main concerns is that at the heart of our democracy [pro-Brexit supporters] are quite happy to say the people have spoken through a referendum and then disinclined to allow the people any further say on what may happen once the negotiations are complete. I think it is a ludicrous proposition to rule-out the idea of parliamentary votes and it’s ludicrous to rule out a second referendum when the outcome of negotiations has been firmly resolved," McLeish said.
According to the former first minister, the Britons voted for Brexit, but they had no idea about the outcome of their decision.
On June 23, the United Kingdom held a referendum to determine whether or not the country should leave the European Union. According to the final results, 51.9 percent of voters, or 17.4 million people, decided to support Brexit, while about 16.1 million opposed it.
The United Kingdom is now expected to invoke Article 50 of the EU Lisbon Treaty to initiate the formal process of withdrawal from the bloc and start talks with the EU leaders on the new format of their relations.