On Sunday, Westwood urged Scotland to vote for independence, saying a yes vote would be "absolutely great".
"The future could be just amazing and Scotland would be very important and an influence on the world," the fashion designer said. "We just hope that Scotland can be a model for future hope and development where we have a people's democracy instead of only everything for profit and for business and for destruction."
Meanwhile, Beckham has added his voice to the campaign to keep the union, telling Scots: "We want to let you know how very much we value our relationship and friendship."
The ex-England captain said: "I took as much satisfaction in seeing Sir Chris Hoy or Andy Murray win gold as I did watching Jess Ennis and Mo Farah do the same in the Olympic Stadium.
"What unites us is much greater than what divides us. Let's stay together."
The Scottish singer Susan Boyle also came out against independence on Sunday, saying you shouldn't break what is "basically working".
"I don't feel reassured that the change will in any way make our already great country better," she said. "We should not be wasting money on this change – we should be putting it into areas that need it the most."
The yes camp has been backed by celebrities including James Bond star Sir Sean Connery, who said the campaign "is rooted in inclusiveness, equality and that core democratic value that the people of Scotland are the best guardians of their own future." Actor Alan Cumming also encouraged Scots to vote to break with the rest of the UK, saying: "The world is waiting for us and I know Scotland is ready."
Last month a list of more than 200 celebrities signed a letter urging Scotland to stay in the union, including Sir Paul McCartney, Sir David Attenborough, Sir Bruce Forsyth, Dame Judi Dench Simon Cowell and Professor Stephen Hawking.
But celebrities espousing their deeply-held views on the independence has not gone down well with many Scottish voters. Twitter user Rob Stewart said: "This isn't about some kind of celebrity parade – it's about your country's future." Andy Arthur tweeted: "Can't think of one celebrity whose opinion matters so much to me it would outweigh the informed decision I arrived at all by myself."
Another Twitter user said: "Has there been a celebrity yet whose opinion on #indyref wasn't rightly met with a 'mate, fuck off. Nobody cares what you think' response?"
The small handful of celebrities who have kept out of the debate include Billy Connolly, who said: "I don't want to influence anybody so I shut up."
Annie Lennox, who was born in Aberdeen, also refused to support either campaign, saying: "Personally, I'm neither a gambler nor soothsayer and my view doesn't count in any case."
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